Linear Independence Linear Algebra

When I was five months pregnant, I was kidnapped by a group of thugs. They used my phone to call my brother, Jeremy Wirkola, and my husband, Grant Sanders, to demand a ransom of ten million, but no one answered. I was tortured and assaulted until I was barely alive. When I was finally rescued, Jeremy cried and promised to avenge me. Grant was in tears too. He vowed to get me treated. However, while under the haze of anesthesia, I overheard Grant's cold voice outside the door. “Jessie is waiting for a bone marrow, but don’t forget to remove Ashlyn’s uterus. Just tell her the injuries were too severe to save it. Oh, and get the best surgeon for her. She’s afraid of pain.” His assistant hesitated. He was clearly uncomfortable. “Mr. Sanders, isn’t this going too far?” Grant paused for a second before he replied firmly. “She refused to donate her bone marrow to Jessie and even used the baby as an excuse. She’s selfish. Besides, if we don’t do this, how can I bring back Jessie and our child into the family? As for Ashlyn, she’s my wife. I’ll make it up to her for the rest of my life. She used to bully Jessie with her status, which resulted in Jessie suffering from depression and almost killing herself. It’s time she paid the price for it.” As I listened to his heartless words, something inside me shattered completely. Since they had chosen to sacrifice me for Jessie, let them have what they wanted then.

I was ten years old when I lost my hearing saving Adrian Falcone's life. After that, I couldn't survive without my hearing aids. He held my hand afterward, his eyes red-rimmed with guilt, and made me a promise in front of his entire family. "Serena Lombardi, I'll protect you with my life," he said. "I'll marry you." But when I turned eighteen, everything changed. Adrian needed to pass some test set by Daniela Moretti—the daughter of a rival family—and he chose the cruelest way to prove himself. He ripped the hearing aids from my ears in front of everyone and laughed. "You're just a deaf, useless burden," he said, his voice cold and cutting. "I've been sick of you for years. Honestly? I wish you'd died in that explosion when we were ten and saved me the trouble." I gripped the rehabilitation report the doctor had just handed me, and my fingers crushed the paper's edges. The diagnosis was precise—my hearing had fully recovered. That night, I burned my hearing aids and convinced my parents to cut all ties with the Falcone family. Adrian Falcone, we're done. Whatever we had, whatever you owed me—it's over now.

In my dormitory, there was a poor student. With all the good intentions in the world, my roommates and I were eager to help her, not realizing how much our help would cost. She wasn't impressed by the hairdryer we offered, insisting on borrowing a branded one instead. The skincare products we gave her? They were applied to her feet. And, as if that wasn't enough, she specifically demanded luxury face cream. One day, I lent her my tablet to look up some information, and to my surprise, she secretly opened up my gaming app, spent all the diamonds and reward tickets I had saved for half a year, and left me empty-handed. When I asked her to pay me back, she turned the tables and posted a public message online, accusing me. "I'm just a poor student from the countryside, never played games before. Are the materials in the game really worth this much?" Before I knew it, the comment section was flooded with criticisms of me. In a fit of frustration, I fired back with a post of my own, throwing her into the spotlight. "Well, I suppose you've never tasted the bitterness of being cyberbullied, have you?"

I hid behind a thick tree trunk and watched silently as a grizzly bear attacked my husband. In my previous life, I was a guide. I led my husband—an environmental photographer—and his female colleague into a nature reserve to film wildlife. While scouting the route, I discovered a nursing grizzly bear and immediately warned them not to take any photos and to retreat slowly. To my shock, they intentionally bumped into me, causing my right leg to be cut and bleed. The scent of blood enraged the bear, and it charged straight at me, sinking its massive jaws into my abdomen. After the bear left, my husband calmly stripped me of all my equipment. Then, wrapping his arms around his female colleague, he kissed her. He turned to me with a sinister smile creeping across his face. "Kate," he said, "I'll be honest. I never loved you. You're dying. Now, all your assets will be mine." I bled out and died. When I opened my eyes again, it was the morning of the day we entered the mountains.

A few weeks before our wedding, Rodney Luther's stepmother, Jessica Flaine, posts a photo on her social media. In the photo, she's wearing the wedding dress I picked out, holding a bouquet of red roses, and shyly leaning toward Rodney, asking for a kiss. The caption reads—"Dreams fulfilled." I don't call Rodney in tears or throw a fit like I used to. I simply like the post and leave a comment. "Screenshot sent to Rodney's father." Not long after, Jessica deletes the post, and Rodney's phone call follows immediately. "Ivana, you're being so petty! The rest of my days belong to you. It's only today that I'm fulfilling a small dream of Jessica's. Hurry up and explain things to my dad! "Come on, be good. I've got a gift for you." A scoff escapes me. "Rodney, do you hear me clearly? Go explain it to your father yourself!"

Five years after migrating abroad, my husband, Shawn Johnson, brings his true love and her son home. "Jill and Neil are new here. They'll be staying with us for a few days." He and I get into a huge fight over this. On my birthday, Shawn hands me a divorce agreement. He says, "Hurry up and sign it. Jill needs this country's citizenship, so let's divorce for show first." I frown, wanting to ask for more details. However, he points at me and calls me heartless. Shortly after, I see Jill's social media update. "Shawnie divorced his wife for me and Neil! We finally have a roof over our heads." I like the post and sign the divorce agreement. Then, I submit an application to my company to be transferred home.

The woman Lucas Kingston kept by his side was pregnant. When I found out, I was shocked to realize that she was just as far along as I was. In front of me, she gently caressed her rounded belly before settling herself onto Lucas’s lap. "I heard that Miss Carter’s equestrian skills rival those of men. I’m quite curious and would love to see it for myself. Lucas, could you ask her to give us a demonstration? “If she manages to please me…" She leaned in closer to him, her voice seductive. "Tonight, you can have whatever you want." Lucas’s gaze turned icy as it landed on me. Though he said nothing, everyone present understood his intent. My face drained of color as I pleaded desperately, "Lucas, please don’t do this! I’ll lose the baby!" Laughter rippled through the crowd, while Lucas merely looked at me with disdain. "If you lose it, you can always have another. Now get on the horse! If you can’t entertain her properly, don’t even think about leaving this racetrack tonight!" The moment his words left his mouth, several people grabbed me and forced me onto the saddle. The startled horse reared and took off in a frenzy. Every jolt sent unbearable pain through my abdomen. I glanced back. From the viewing platform, the two of them were already locked in a passionate embrace. Clutching the reins with all my strength, I forced a bitter smile. This was the seventh time. And the last. From that moment on, I would never humiliate myself for anyone again.

My mom kindly took in the daughter of her deceased friend. Unexpectedly, the girl smoked, drank, fought, and refused to improve. She even fell madly in love with the school bully and jumped into a river to prove her love for him. My mom tried to save her, but the girl pushed her head underwater. The girl was rescued and embraced by the bully, but my mom drowned. Reborn, I stopped my mom from jumping in, but she shoved me into the river, shouting, "Why isn't it you jumping in?"

I'm back to that night I was drugged with an aphrodisiac. My sister, Rosa Spencer, drags the most aggressive guy in the village, Theo Dawson, into the woods without hesitation. In my previous life, both Rosa and I had been drugged at the same time. She jumped at the chance to be with the promising young intellectual, Dexter Newman, and I was stuck with Theo. After what happened, Dexter took responsibility without a second thought. He threw a huge wedding in the village and married Rosa. Meanwhile, I ended up marrying Theo in a rush, with nothing but a tattered quilt. Seeing this, Rosa burst into laughter. "You were born unlucky, and you'll never beat me! My husband's going to college. His future's limitless!" Yet, to my surprise, Theo changed completely after we married. He spoiled me endlessly and even became the richest man in the state. Dexter, on the other hand, failed his college entrance exam due to cheating and could only make a living by doing odd jobs. After seeing me become the wife of the richest man in the state, Rosa suddenly ran to my house in tears. "My husband's a total loser. Years have gone by, and we can't even afford a decent apartment!" Out of sisterly sympathy, I landed her a well-paying job. But when she came to thank me, she smashed a whiskey bottle over my head. "We're sisters! How come you get to live better than me?" When I opened my eyes again, I was back to that very night Rosa and I were both drugged with an aphrodisiac.

I waited for my boyfriend for three hours at his birthday party. Sean Ziegler was supposed to show up dressed as the star of night. However, his secret lover, Josie Sullivan, called him to the hospital. She had pretended to sprain her ankle. There, she recorded a video of her and Sean kissing. In the heat of the moment, Sean stood up and pushed her against the door. But he was supposed to be paralyzed. “Sean, why haven’t you told Wendy that your legs are fine now?” “If she knows, she’ll pressure me to marry her. Seriously, who does she think she is? Wendy’s just a free maid. She’s not good enough to be my wife,” Sean said in a muffled voice. After that, he continued to kiss Josie intensely. Wearing the wedding dress I had designed, Josie looked provocatively into the camera. The video then ended with the sounds of them kissing. It turned out that Sean had been lying to me all along. I threw the cake that I made for him into the trash. Then, I texted my mom. [Mom, I’ll go on that blind date.]