Linear Independence Linear Algebra

Xena Xander returned to the past and found herself back in 1989. That year, she was thirty. Her husband, Julian Zane, was thirty-five. He had just become the youngest academician at the National Academy of Sciences. He was a national talent, and his future looked exceptionally promising. They had a pair of ten-year-old twins. Everyone said she was lucky. She was so lucky to have a good husband and sweet children. But the first thing she did after returning to the past was consult a lawyer and prepare two divorce agreements. She called Julian’s office. When the assistant realized it was her, the response was brief. “Xena, Professor Zane is busy. He doesn’t have time.” She went to the research institute to look for him, but the guard stopped her at the entrance. “Sorry, Professor Zane is unavailable right now.” After three days, she took the divorce agreement and went to see Julian’s first love. She placed the agreement in front of Moon Jensen and calmly said, “Please have Julian sign the divorce agreement. From now on, he and the two children belong to you.”

I set fire to my painting in front of the entire academy. Thunderous applause erupts from the crowd as everyone thinks it's some kind of performance art. Unlike them, Willow Laurent is distraught. She rushes up and grabs my hand, questioning in a shrill voice, "Cassidy Seymour, have you gone mad? This is your only chance to prove yourself!" I shake her hand off me coldly. My only chance? No… What she means is that it's her chance. In my past life, I created this masterpiece with all my heart and soul. But she stole it from me and submitted it as her entry first. Whether it was the composition, the colors, or even my original dot-stippling technique… She replicated every detail flawlessly. Then, she won the National Young Artists Gold Award, signed with a top gallery, and became a rising star. And what about me? I was condemned as a shameless plagiarist. Insults and curses gradually drowned me. "You shouldn't be an artist!" "Plagiarists are scum! They should just die!" Her fans stormed into my studio, smashed my art supplies, and broke my right hand. As I saw no end to the hell that I was living in, I jumped down from the top floor of my studio. When I open my eyes again, I'm back to the very day she first accuses me of plagiarism.

One week before our marking ceremony, my Alpha Mate, Corey Black, looks me straight in the eye and says something unbelievable, "I want to have a pup with my long-time friend Willow." At first, I assume it's a terrible joke, but I see determination in his serious expression. I suppress the churning feeling in my stomach and ask him why. He sighs, his gaze gentle as if he's soothing an unreasonable child. "Willow's old Beta father is dying. His only dying wish is to see Willow have a pup. We're doing it through IVF, so it won't hurt our relationship. "Her father devoted his entire life to the pack. You wouldn't refuse to fulfill even his dying wish, would you? You wouldn't be that cruel, right?" I don't know how to respond. He speaks as if not letting my fated mate have a pup with another woman is selfish. Later, when I go to visit the gravely ill old Beta, Corey is holding Willow Lester in his arms. His hand gently strokes her hair as he lets her sob against his chest. The moment our eyes meet, pain strikes my very soul. My wolf lets out a desperate howl of anguish. I stumble away, only to receive a text from him on the day of our marking ceremony. "Honey, Willow and I are undergoing the IVF procedure. Let's postpone the ceremony for now." I stare blankly at those words, my hand unconsciously moving to my still-flat stomach. Since he wants so badly to have a pup with another woman, I will grant his wish and disappear with my pup.

The night of our mating ceremony, my destined Alpha, Alex, basically tossed a three-year temporary mate bond agreement at me. He said he only had eyes for one wolf girl, Lily, an Omega. He told me he’d wait until the day he was in charge of the pack, then he’d personally cut our mate bond. Lily would be his one and only. That was until Lily had a huge fight with him and just up and vanished. Alex, after too many nights drowning his sorrows, accidentally marked me. It seemed like he was finally starting to get that I was his real mate. He even started willingly holding me as we fell asleep. Just when I thought Alex had totally accepted me, Lily came back. To save Lily’s mom, Alex didn’t think twice about giving up his own precious life force. To make Lily happy, he publicly shamed me at the Moon Festival, even snatching the only moonstone bracelet my grandma had left me. Lily smashed the bracelet, and my heart broke right along with it. On our third bonding anniversary, Alex booked my favorite restaurant, wanting to say sorry. But what he didn't know was that I’d already broken our mate bond. I wasn't going back.

The casino my husband and I ran was about to go through a chaotic police raid. Anyone who got caught would likely end up arrested. We had the time to leave. But we couldn’t all leave. One of us had to stay behind, or the cops would keep chasing us. Elias, my charming husband, didn’t even hesitate. He grabbed Mireille and left me to handle the cops, tossing over his shoulder, “I’ll send a lawyer to you.” Lucky for me, I managed to walk away without any consequences. And then, I saw, Elias, the man who was supposed to have my back, not only did escape without me, he also whisked Mireille away to some fancy resort, like they were on vacation. He looked so carefree, so unbothered. Not a hint of concern for the wife he’d just abandoned. “Think Seraphina’s gonna be mad that we left without her?” Mireille asked, all innocence. Elias laughed, that cold, detached laugh that sent a shiver down my spine. “Please. As if she’d ever get mad at me. She can handle herself.” He didn’t care. But you know what? Neither do I. Not anymore.

My name is Eleanor Keating. In my past life, my older sister—Alice Keating—and I were entrusted to the McKellen family in Arborhill by our parents for arranged marriages. I married John McKellen, the eldest son. While he might not be conventionally handsome, his calm demeanor and unwavering reliability stood out. Alice married Xavier McKellen, the younger son. Handsome as he was, he was equally carefree and unpredictable in his actions. Eager for a grandchild, the family patriarch—Henry McKellen—made a promise. The first to bear a child would have their offspring named the next heir of the family. After our wedding, John and I conceived. Our child was naturally declared the next heir, and with that, John and I gained influence and power within the family. Tensions between Alice and Xavier escalated into frequent fights. Eventually, both had affairs, and their marriage ended in a bitter divorce. Believing they had dishonored the family, John banished them from the household. Blinded by jealousy, Alice poisoned me and my child, ending both our lives. When I open my eyes again, I find myself back on the first day I arrived at the McKellen residence. But this time, Alice makes the first move and sleeps with John. In that moment, I realize she, too, has been given a second chance at life. Unfortunately, she has no clue that John is a twisted man. Not only is he devoid of love, but he also sees women as mere stepping stones in his relentless pursuit of power.

The owner of a small company gives me an expensive bag as a gift because I want to invest in his company, yet his wife mistakes me for a homewrecker. She and her entourage crash my engagement party and trash the place. "All homewreckers need to go to hell!" "Shameless women will always be shameless. Strip her so everyone online can see what she looks like!" "Share the livestream and like it, everyone! We'll disfigure her once we hit 500 thousand likes!" Not only does my fiancé refuse to help, but he even announces that the engagement is off. "A homewrecker doesn't deserve to marry me!" I repeatedly warn them not to act rashly, but they ignore me. So, I give them each a swift punch to the gut before stepping on the perpetrator's face. Then, I call my secretary. "Tell Mr. Lane that I'm pulling out of the investment. Also, call the police and my lawyer. I've been robbed and insulted in public—I want the culprits to go to jail for this!" My fiancé regrets everything and asks me for a reconciliation, but I kick him aside. "Get lost! I'm not dumpster!"

Julian Carter orders me to clean up his childhood sweetheart's new home when I'm still recovering from childbirth. "Everyone knows you're good at home economics! Things will be much easier for us with your help." I'm wrapping things up when I feel something dampen my pants. The discharge trickles down my leg and onto the floor. Nadine Stephens covers her mouth and cries dramatically, "What's that? It's so disgusting!" She even bends over and pretends to gag. Awkwardness and shame wash over me, making me want to dig a hole and hide myself. However, Julian grabs me and scowls. "I told you to come here to help. You're causing trouble on purpose, aren't you?" It's Valentine's Day, but he chases me out and tells me to go home. I wait for him for the whole night with our child in my arms. He only returns the following day with love bites on his neck. That's when I know we won't have a future together.

I decide to get onboard with the latest trend by custom-ordering a merfolk meant to serve me from AquaGene Corp. On the day Lance arrives at the company, the engineer tells me, "It's highly recommended that you be there in person, Ms. Ross. That way, you'll be able to form the initial bond with him." So, I spend one day standing before the eco-tank. As soon as Lance opens his eyes, he doesn't show any signs of wanting to get close to me. Instead, he merely scrutinizes me coldly before turning his back on me. I comfort myself, thinking that Lance is just shy. But one week later, I realize how wrong I truly am. I pay money because I want to buy a partner who can keep me company forever. Turns out I buy myself the biggest trouble of the century instead.

My husband had a heart attack on his way to work and died. All I could see was his body when I rushed to the hospital. I was heartbroken and bedridden. When I was about to die, I saw on the news that he won a lottery ticket worth 300 million dollars. My bestie cashed the prize money with him. When I opened my eyes again, I was back to the day when my husband faked his death. But I wanted to make his death real this time! “Are you from the funeral home? My husband is dead. We need to plan a cremation for him right away!”