Linear Independence Linear Algebra

Right before I hit forty, my husband hit me with: "I want a divorce." For the past ten years, I had been driving a truck outside every day to support my family, while he had been cheating on me at home. Even our child was no longer close to me. "Bad Mom! You hit Jenny! Bad Mom!" Willy cried. "I don't want Mom. I want Jenny. I wanna stay with Dad and Jenny!" Jenny. The neighbor. Single mom. Her kid and ours were tight. Ten years of grinding, running myself ragged—for two ingrates? All right! Wish your family of four a happy life! I didn't want my husband or son anymore.

The day of the verdict, Simon—my fiancé—begged me to take the deal. "I know you're innocent, but Nancy's pregnant. I can't let her go to jail." Tears. Fake concern. "This is for your own good," he said, holding my hand. I signed it. In my last life, I refused—and paid for it with prison, torture, and infertility. This time? I played along. By morning, headlines screamed I'd stolen trade secrets. Nancy? Front and center. "Yeah, it was her. I saw her sneak into Johnston Group with my own eyes!" But when court opened that afternoon, Clark—yes, the plaintiff—stepped up and dropped the case. Then, in front of everyone, he pulled out a ring, dropped to one knee, and said, "Heidi Wynn, this time... will you marry me?"

I was born a Rogue. At seven, my sorry excuse of a father almost sold me to a disgusting old wolf. Julian the Alpha saved me. He taught me how to fight, to have dignity. Another Alpha, Lucian, showed me how sweet life could be. They treated me like their precious treasure. It all changed when their childhood sweetheart Claire returned. Julian and Lucian stopped spending time with me, and even severed our mind link. I thought that if I worked harder and was more obedient—if I changed myself to suit their tastes a little more—I could get them back, even if it meant losing myself entirely. One day, everything ended. To protect Claire, they intentionally rigged the game and lost the match. They threw me into the Death Forest, full of savage Beasts. There, a Beast pounced at me, its sharp fangs tearing my neck apart. I closed my eyes, the smell of blood drowning me amidst the cheers. No one cared for me… None. So be it! No longer would I have any expectations!

My husband, Francis Zouche, thought we weren't well-off and could not afford to raise a child. So, he forcibly took me to the hospital to get an abortion. Right after the surgery, I discovered that he had transfered 200 thousand dollars to his first love, Heidi Colman, for her birthday. Out of pure rage, I got into a huge fight with him in the car, which led to an accident that killed us both. When I opened my eyes, we had returned to the day before our wedding. In our previous life, we were married for ten years. We weathered storms and supported each other, but Francis never wanted us to have a child of our own. On the day I died, I finally understood that the one he loved was Heidi. After getting a second shot at life, I decided to fulfill his wish. We canceled the wedding, blocked each other's phone numbers, and never contacted each other again. Eight years later, Francis became a top lawyer in Alvren and publicly proposed to Heidi at a law forum. Seeing that I was still single, he mocked me with a sneer, "Yvette, I know you loved me for two lifetimes. But I am getting married now. Don't keep waiting for me to come back to you." I glanced at him wordlessly and bent down to pick up my daughter before walking away. As a shocking realization hit him, his eyes reddened. He questioned furiously, "Didn't you promise to love me forever and to only give birth to my children?"

My fiancé and brother hated me for ten years. They firmly believed I had bullied their beloved Linda Lowe. At my engagement party, they exposed my crimes to the world. "She's nothing but a bully who tormented her classmate!" In the viral livestream video, Linda smiled through tears: "I've already forgiven her." "What's done is done. The past is behind us now" She became an overnight sensation. Meanwhile, I was condemned by thousands, attacked with acid by fanatic fans, and in despair, I took us both down together. When I opened my eyes again, I was back in my senior year of high school. Linda was pouring water over her own head while smiling, asking me, "Have you thought about how you'll apologize to me?" I lost it right there. Grabbing her by the hair, I dragged her into the bathroom, shoving her head into the toilet. "Let me show you what real bullying looks like. Since your mouth is so filthy, make sure to wash it clean before you go telling tales."

Sophia Lin’s dream of independence and accomplishment become abolished when she is forced into an arranged marriage with Ethan Gray, a cold hearted millionaire and the founder of DaeVille. An action taken by her husband, Ethan Gray, prompts Sophia to take a step and break free from her bondage. Her road to independence leads her to Alexander Dolan, an handsome billionaire who happens to be Ethan’s business rival and Sophia’s secondary school mate. What started as a partnership quickly escalates into a romantic attachment. But Ethan is possessive, he wouldn’t lose what is his to anyone, much less Alexander. The choice falls on Sophia. With Ethan having a bonding leverage on her, Sophia is torn between following her heart while leaving a broken home in her wake or saving a marriage that could ruin her future.

My name is Dakota Wetherby. On the very day my husband, Theodore Aldridge, and I get legally married, he brings his ex-girlfriend, Sofia Moretti, into our home. "Sofia recently suffered a miscarriage, so she's going through a very difficult time. I'm genuinely worried about her," he says. "We're just friends. It's only natural for friends to comfort each other," he adds. Sofia is Theodore's college sweetheart. Rumor has it they separated on good terms when she went abroad for further studies. Clad in Theodore's jacket, she curls up on our bed. Her pale, ashen face is streaked with tears. "I'm so sorry, Dakota. I had no idea you two were getting married today. "I was too upset and didn't know who else to reach out to, so I called Theo. "He was only comforting me because I lost my child. It's completely my fault for overstepping and ruining your wedding day. "You can ask for whatever compensation you want. Just please don't blame Theo for this." I hold the freshly issued marriage certificate from the courthouse and walk up to her. "Since you've brought it up, I suppose I'll reluctantly accept your compensation. "Theodore and I are married for business reasons, with billions in projects hanging in the balance. "Tell me, how exactly do you plan to make up for all of that?"

I had moved out of our house, but my boyfriend—the one I had given up everything to run away with—had no idea. Neither did his possessive younger brother, the one who used to knock on my door calling for me. My boyfriend's first love had taken up all their attention. They no longer listened when I played the piano. They even forgot about my cat fur allergy and brought that woman's cat home. My boyfriend, Ian Blake, had snapped, "If anyone's leaving, it's you. There's no way Eva's cat is going anywhere." His brother, Sebastian, had said, "Sienna, Eva is my girlfriend. How could I give up her cat for you?" When I woke up in the hospital after going into anaphylactic shock from my allergy, I decided to leave them. Back home, I made my first call to my mother. "Mom, I'm ready to accept the arranged marriage."

My mate Jackson died saving me in the great fire. I couldn't accept the truth that he was gone, so I decided to end my life by jumping into the silver pit. But the Alpha David saved me—twice—while making his rounds among the soldiers. He stayed by my side, comforting me, afraid I might try to take my life again. Slowly, I began to accept the idea of being claimed by him. But then, at his birthday party, I overheard something that shattered me. "I want to claim her as my Luna," he said, "but I still can't compete with her deceased mate, even after being with her for three years. She always pulls away when I get close, and I give up each time because I don't want to force her. But if she were to die for me... my wolf would be overjoyed—he would finally have found his fated mate, someone willing to die for him." I was stunned—especially by the plan he revealed next. So, before he could put it into action, I decided to fake my own death. That day, dressed in a wedding gown, I walked into the sea right in front of him. Later, I heard he went mad, deploying every soldier he could to search for me. But when all efforts failed, he was left alone, kneeling by the shore, sobbing like a broken mate— the sea answering him with only silence.

My husband, who's a negotiation expert, allows his intern to recklessly anger some criminals. It causes me, the hostage, to suffer severe injuries in the explosion, and my right leg breaks because of it. Yet, my husband once again issues a letter of forgiveness for her. "My wife, as a reporter, ignored warnings and forced contact with the criminals to get the scoop. The main responsibility lies with her. Kimberly, being a newcomer, should not bear major fault." I don't cry or make a scene. I simply pull out a divorce agreement. However, he sneers at me. "I know you're just jealous and want me to comfort you, but don't cross the line." For the past three years, I've brought up the topic of divorce 47 times, and each time, he treats it like I'm just throwing a tantrum. But it's different this time. His name has already been signed on this divorce agreement. As long as I add my signature to it, it will take effect immediately.