Linear Independence Linear Algebra

On our fifth anniversary, Alpha Liam gave me nothing more than a simple pack mark of protection. That same night, he held a bonding ceremony with his first love, the she-wolf Seraphina. I refused to accept it. He accused me of being irrational. “My bonding with Seraphina is for the future of the pack, not because I still have feelings for her.” “You’re only human. Shouldn’t my pack’s mark be enough? This was your final test, Elena, and you’ve failed.” I walked away. And he turned around and proposed to Seraphina. Five years later, we met again at an exclusive hotel designated by the Alpha Council. His pack was on the verge of becoming a major power, and he had Seraphina, draped in a moonlight silk gown, on his arm. When he saw me, covered in sand and standing ankle-deep in the hotel’s ornamental fountain, he frowned. “Elena,” he scoffed. “You looked down on my protection back then. Look at you now. I bet you can’t find a single pack in this city willing to take in a human.” “And don’t think this pathetic display will make me take you back.” I ignored him. My cub’s treasured moonstone, a gift he’d found while combing the beach, had slipped into the fountain. The little guy was beside himself, and I had to find his precious amulet.

After being Nelson Jackson’s devoted simp for five years, Sarah Paterson became pregnant. Just as she was excitedly waiting for him to propose, Nelson had a change of heart when his high school sweetheart returned from studying abroad. Sarah didn't fight to keep the relationship. Instead, she went straight to the hospital, had an abortion, and immediately agreed to the arranged marriage her family had set up with a business partner's son. But Nelson came to regret his decision. He begged Sarah to keep his child, but she only gave him two words in response. "Too late."

The end of the world was upon us, but there weren't enough spots for evacuation. The roars of the zombies echoed in my ears as my fiancé, Oliver, gritted his teeth and pulled me onto the rescue vehicle—securing the last available seat. I arrived safely at the survivor base. Lina, his first love, did not. The zombies tore her apart. Oliver still went through with our marriage, but I never expected that he had only done so to make me suffer. In his eyes, I was the one who had killed Lina. If she had to endure such agony, then I should, too. For five years, he hated me. My life was worse than that of a stray dog scavenging for food on the street. On the day my divorce was finalized, he kidnapped me, dragged me into the wilderness, and wrapped his fingers around my throat. Then, he threw us both into the swarm of the undead. When I opened my eyes again, I was somehow reborn on the day the apocalypse began. The rescue team was shouting impatiently, "One more! We have room for one more—hurry!" I turned to Oliver, watching his hesitation. Then, with a quiet smile, I took a step back and let someone else have the last seat.

When I was struck by a stomach illness, my boyfriend, Charles Fischer, was busy blowing out birthday candles with his assistant, Beverly Wagner. I lay there in excruciating pain, but he didn't even glance at me. Instead, he affectionately stroked her nose.  “Bev is a year older! Make a wish, birthday girl!” Later, after I had fainted and was rushed to the hospital, I called Charles, only for him to ignore me.  Meanwhile, Beverly posted a photo on Instagram. Gifts filled the screen, with the caption, [Yay! Charles is the best ever! Charles and Bev, together forever!] When I confronted him, Charles didn’t care at all. "It's Bev’s birthday. Were you expecting me not to spend it with her? If you can't handle it, we're done!" This was the umpteenth time he'd threatened to break up with me, always confident that I wouldn't dare to leave him.  Not this time.

"Sir, the divorce agreement from the safe." On their fifth wedding anniversary, in a dimly-lit restaurant, Xavier Hampton's secretary placed the divorce papers in front of him. Five years ago, on the day Elizabeth Eaton and he registered their marriage— She had loved him deeply. So deeply that she had prepared the divorce agreement in advance, signed her name, and locked it away in the safe. If she ever betrayed him, all he had to do was sign. Xavier picked up the pen and swiftly signed his name. Across from him, the empty seat seemed heavier than any presence. His gaze dimmed. "Send the divorce papers to Attorney Harvey," he said, his voice calm, almost detached. "Then book a hotel and have the wedding venue set up in advance." The secretary hesitated for a moment before carefully asking, "Whose names should I write as the bride and groom?" "Elizabeth Eaton and Connor Walker."

I had proposed seven times, but Winnie Smith continued refusing to marry me. This was because the Smith family had a special test. To marry their daughters, their sons-in-law had to refrain from sleeping with their fiancees after being drugged. I tried seven times. However, every time after I regained consciousness, Winnie would be sleeping naked next to me. She would cry and throw herself into my arms. “It’s fine. We can try again. I trust you.” It was not until the eighth time that I overheard her instructing the butler, “Switch the aphrodisiac to sleeping pills, and make sure it’s a high dosage. “After he falls asleep, I’ll take it from there as usual.” While I kept my eyes shut tight, I could hear her taking off her long dress. Then, she came over to unbutton my shirt. I heard her sigh. “I’m sorry, Benjamin Lowe. Joe Anderson’s been diagnosed with cancer, and his last wish is to be with me. “Don’t worry, though. After he passes, I’ll marry you immediately.” Right then, I realized that her family’s test had been a lie she told just to marry her childhood best friend. The next day, my parents pressured me again to leave the country and inherit the family business. So, I agreed to their request. Since she wanted to marry Joe, I would wish the couple well.

Right after Ethan and I announced our mating ceremony, his childhood sweetheart from the pack, Sophia, came rushing back. And she flat-out demanded I go through a "bloodline trial." "Someone like you, a wolf outcast, you're definitely up to no good. You have to pass this month-long bloodline trial before our pack will accept your mating!" With Ethan basically giving them the nod, Sophia and her pack betas put me through hell. They deliberately messed with my moonlight alchemy circle, almost tore my mind apart. The backlash from the moon energy tortured me until I almost broke. My body felt like it was being ripped to shreds. They contaminated my sacred water potions. The choking fumes nearly suffocated me. The betas were cruel and vicious. "She's just a lone wolf anyway. If she dies, no pack will back her up." Then, Sophia stole the Moon Goddess sacred artifact my grandma left me—the Moon Alchemy Cauldron. She taunted me, all cocky. "If you've got the guts, try summoning the Moon Goddess's power on the blood moon night to take it back! Otherwise, I'll use your family's crappy old cauldron as a chamber pot!" I’ve had enough. I’m so sick of these ‘trials,’ and there’s no way in hell I’m mating with Ethan.

I think Micah Walker is the love of my life. I fight hard within my family to secure a grand wedding with him. My parents plan to launch a multi-million-dollar jewelry line called "True Love" on our wedding day. But seven days before the wedding, Micah tells me he has to marry his first love first to honor her late mother's last wish—then marry me afterward. He says impatiently, "For Ariana's filial duty, everything else can be sacrificed. If you can't let go of that money, then go marry someone else right now!" Turns out, in his world, I and everything I have built were always expendable—just some obstacles standing between him and his precious first love. I turn away and call my brother. "Kyle, keep the wedding as planned. Just find me a new groom."

I've been married for eight years, but my husband won't let our daughter call him "Dad" because his childhood sweetheart's son struggles with severe depression. After he missed our daughter's parent-teacher meeting again because he was with Susan Lawson and her son, I decided to leave. I prepare the divorce papers and decide to leave with my daughter. I go to her school and find her homeroom teacher, Laura Anderson. "Ms. Anderson, I'd like to apply for a school transfer." She looks surprised. "Why the sudden decision to transfer?" I reply calmly, "Her dad has been working out of town, but he's finally settled down and wants us to move there." Laura sighs. "Well, that's not bad. I always thought you were a single mom." I smile. I'm not, for now. But I'll be one very soon.

The very first thing I do after I come back to life is find a pig and get married to it. In my past life, I was on the brink of getting engaged to my lover of ten years, Anthony Warner, who was a regimental colonel. In order to celebrate my engagement, Hannah Larson, my cousin, gave me a bracelet, and since it was a thoughtful gift from her, I wore it all the time. Yet, on our engagement day, Anthony didn't just call off our engagement, but he also berated me, calling me a tramp and a homewrecker who destroyed his relationship with Hannah. I was completely at a loss and tried to defend myself, but Hannah suddenly stepped forward and burst out crying. "I know my family and educational background surpass yours, but you can't just ruin my relationship with Anthony out of jealousy, Natalie! Anthony and I have already made a lifelong commitment to each other, so please just let it go!" Anthony turned and led Hannah away. They then got engaged shortly afterward. I was left standing there, becoming the subject of gossip from my relatives. They called me a shameless home-wrecker, and their scorn extended to my parents, who were shamed for raising such a child. They eventually took their own lives from all the rumors, and I couldn't bear the pain of losing them, so I ended myself, too. I suddenly open my eyes and find myself returning to the day Hannah presents me with the bracelet.