Linear Independence Linear Algebra

"Ms. Longstaff, are you saying the wedding will proceed as planned, but the bride will be replaced with someone else? Is that correct?" Faced with the staff member's puzzled expression, Heather Longstaff nodded without hesitation. "Yes, the wedding will take place in two weeks as scheduled. I'll deliver the revised materials to you in the next few days." "Understood. Should I inform Mr. Bennett about—" "There's no need!" Heather cut the other person off, her voice sharp with emotion. Noticing the startled look on the staff member's face, she quickly composed herself and explained, "He's busy. All wedding-related matters should come directly to me from now on." This wedding was meant to be her final gift to Mitchell. And like any gift, it had to remain a surprise until the very last moment.

The company had just taken off when a project my wife, Lenora Peterson, was in charge of ran into trouble. To ease her mind during her pregnancy, I went overseas in her stead, spending ten perilous years abroad before finally returning home, barely alive. Instead of the joyful reunion I had imagined, she greeted me with cold detachment and thinly veiled disgust. "Why are you back?" Lenora asked. "Today is Nathan’s housewarming party," she added. "Let’s head there first—we’ll talk later." We rode in silence the entire way. When we arrived, a ten-year-old girl came dashing over and clung to Lenora affectionately. “Mommy, why did you take so long? Daddy’s been waiting for you forever!” Daddy? My eyes burned with rage—until I saw my old friend Nathan Grant stepping out to greet us with a smile. "Lily, come to Daddy. Mommy’s tired—don’t bother her now." When I met Lenora’s eyes, the guilt I saw there told me everything I needed to know. I turned away and texted my assistant, Morgan Williamson, to begin acquiring the company that, by right, had always belonged to me. He soon reported back. "Mr. Brooke, the acquisition process will be completed in three days."

At our tenth engagement party, my girlfriend crushed my heart again, leaving my proposal ring dangling in the air. She had been chasing the ghost of her first love, and I was done being her fallback guy. When I finally opened my heart to someone new, she realized what she'd lost. Ten years together, ten engagement parties, and still, she wouldn't take my ring. Every time we reached the moment to exchange vows, she'd stare at the door, waiting for that man to swoop in and rescue her. She swore she'd only marry me if he crashed the party, claiming it would prove she'd truly chosen me. This time, I couldn't hold back. "If he never shows, are you just gonna keep stringing me along forever?" She shot back, "He still loves me. He'll show up to stop this. Besides, we've been together a decade. Does a ring even matter at this point?"

My Alpha mate's childhood sweetheart and I are pregnant at the same time. To protect her reputation, he announces to the public that her pup is his. However, he claims that my pup is a bastard that I conceived after having an affair with another man. I go from being the noble Luna to a despised slut everyone scorns instantly. When I question my mate, Simon Latham, he shrugs and says, "Xandra has always been a goody two-shoes. She won't be able to handle the gossip from being pregnant without a mate. You're the Luna. Isn't it your duty to help your people?" On that day, any form of affection and love I ever felt for him die down completely. I secretly schedule an abortion and book a plane ticket. From now on, I will leave Simon for good.

I was the sole front desk clerk at a haunted hotel. Welcoming players, checking in on the bosses’ quarters, and slacking off a bit were all part of the job. At least, that was what I thought. It turned out my days were far from ordinary. A blood-drenched little girl in a tattered red dress kept ringing the service bell. Her eerie voice echoed, “Miss, why didn’t you come play with me?” A creepy black cat with glowing eyes wouldn’t stop meowing and rubbing against my legs. And then there was the old woman with claws like knives, cheerfully knitting me a sweater… out of players’ skin. One day, I took a day off to care for my sick mother. That was my biggest mistake. The entire game instance erupted in chaos. Bosses interrogated players, demanding to know where their precious front desk clerk had gone. “Did she abandon us? Is she never coming back?” I ran. They chased. But no matter how fast I fled, their grip on me only tightened. In the end, escape wasn’t an option.

For another girl, Lex Hamilton—my fiancé of several years—dumped me in the middle of nowhere and left me to fend for myself. Three years later, he showed up with her to bring me back. "It's been three years," he said. "Even a dog would've learned its lesson by now. I did this for your own good. If you don't fix that attitude of yours, don't expect to ever become my wife." They thought I'd crumble. They thought I'd beg, cling to him, and unload all the pain and humiliation I'd carried for the past three years. Instead, I smiled. "Sorry, Mr. Hamilton. I'm already married."

I fell in love with a man I should never have touched—my brother-in-law, Lucas Zahn. The first time he came to our home with my sister, Quincy, they looked like the perfect couple. He smiled at me, held out a peace talisman bracelet, and said it would keep me safe. I wore it like it was the most precious thing in the world. When the old injury in my ankle flared up, he would scoop me into his arms and rush me to the hospital without a second thought. When thugs tried to harass me, he made them scatter with a single look, then spoke to me in a voice so gentle it made my heart tremble. I told myself I understood—that everything he did was only because I was Quincy’s younger sister. Even so, I clung to those rare moments when I could be near him. Until the night Lucas was drugged by an enemy, his life teetering on the edge. If no one acted, he would die. So, I acted. On that reckless, desperate night, my sister walked in. The sight struck her like a lightning bolt, and she collapsed, her weak heart seizing on the spot. What came next was madness. In a frenzy of rage and panic, Lucas tied me to an operating table. His hands—those hands I once longed to hold—cut open my chest and tore my heart out for her. “When the avalanche hit, Quincy nearly died saving me. I swore I’d treat her well for the rest of my life. That means loving her family, too. I never thought you’d be so shameless. “This is what you owe her!” He never knew that I was the one who saved him in that avalanche. So, I died in agony, my love carved out of me—literally. When my eyes opened again, I found myself back on the night he was drunk.

Just a few days before my wedding, I accidentally come across a post while scrolling online. The title reads, "To the guy getting married in this city, your fiancée's already cheated on you." Curious, I click in to see the gossip, only to realize I'm the one being talked about. A deep male voice plays in the video. "I heard you're getting married?" The woman in the frame, bare-backed and trembling, chokes back a sob. "After you left, I realized you're still the one I love most. I'm done with him. Take me away, please!" The moment I hear her voice, it feels like someone punches me straight in the chest. Then I notice something on her wrist—the luxury couple's bracelet I gave her just yesterday. And in that instant, I feel like the biggest joke of all. Turns out the fool was me.

Everyone knew I, Isabella Marino, was Vince Moretti's greatest weakness—the one thing the mafia boss would never tolerate being touched. Years ago, when I was kidnapped, Vince disarmed himself at gunpoint, risking death to get me back, even paying his entire fortune for my ransom. To keep me from harm, he walked a razor's edge, navigating danger at every turn. After I got pregnant, he waited on me hand and foot, barely letting my feet touch the ground. There were rumors that he kept a pampered mistress outside—some woman he spoiled rotten. I never believed them. But then she flaunted herself in front of me. To beg for my forgiveness, Vince cut off his own finger. The next day, that woman slapped her pregnancy test results in my face, sneering, "Vince wanted a baby with me so badly, he just couldn't help himself!" I was already frail. The shock and rage sent me into a miscarriage.

My neighbor is a physics genius. He's spent the past six months preparing for an important physics competition. However, he wants to skip it to care for his girlfriend, who has a fever. I tell his parents about it. So, he's forced to participate in the competition. He wins first place and is admitted to Quinver University. Later, he establishes his own business and finds success. I become one of his employees. He looks down at me imperiously in a dim basement. He stomps on my fingers, shattering them. "You deserve this for being so wicked, Larissa Clarke." When I open my eyes again, I'm taken back to before any of this ever happened.