Linear Independence Linear Algebra

Three days before our engagement, Zach Jefferson called me. “We’ll need to postpone the engagement party by a month. That day is Sienna’s first concert since she returned, and I need to be there. “It’s just a postponement. It’s no big deal.” He had postponed our engagement three times that year. The first time was because Sienna Lynch had been hospitalized with appendicitis. He said he had to take care of her and rushed over. The second time, Sienna said she was feeling down. He was worried she might get depressed and immediately booked a flight to see her. It was the third time. I simply said, “Okay.” After hanging up, I turned to the good-looking and refined man beside me. “Are you interested in marrying me?” Later, during Sienna’s concert, Zach left her without hesitation. With red, teary eyes, he rushed to my engagement ceremony. “Yulia, are you really getting engaged to this man?”

On the last day of the deadline for the loan repayment, I went to Liam Sommer's stepsister, Christine Sommer, to ask for the 300,000 dollars I had lent her. The next day, Liam threw a ledger I had never seen before in front of me. Liam said, "On your birthday last year, I transferred 8,100 dollars to you. On our tenth anniversary, I transferred 108,000 dollars to you. Also, at the beginning of every month, I transfer 20,000 dollars to you for your living expenses. You must pay me back by the end of today." I froze, but Liam smiled without a hint of warmth. "What’s wrong? You can't afford to repay me? Evelyn Lancaster, you shouldn't have given Christy trouble. This is my lesson to you. If you don't pay me back today, let's not meet for the next three years, and don't come looking for me." Over the next three years, I never saw Liam again, nor did I go looking for him. While he and Christine traveled around the world and wore couple rings, I married my childhood friend in front of our family and friends. While he and Christine walked along the beach and kissed, I moved into a new house with my husband, our cat, and our dog. Everything was moving along smoothly, but why was Liam standing under the window of my house in the middle of the night, crying and saying that he was unhappy?

My adopted sister won the Elixir Challenge by stealing my potion. To her shock, she was informed that the event was a selection event for the future wife of the Serpentkins' future head—the same heir who was infamously impotent, barbaric, and hideous. When the Serpentkins sent over a proposal letter, demanding her hand in marriage, my fiance panicked and promptly took my adopted sister away for a quick marriage and even consummated. Once the deed was done, she returned triumphantly, showing off the mark on her lower back. "Well, what are you going to do now, Winnie?" she gloated. "Your fiance is mine now, and you'll be twenty-five in three days. If no one comes to pick you up, you'll just be dumped into the hands of some wife-beating Rogue who is ageing and unwanted…" Actually, she was wrong—I had a choice. I went to the parlor where my parents—who were busy fixing the mess my adopted sister made—were, announcing, "If she refuses to marry the future head of the Serpentkins, I will!"

In order to save my childhood friend, I was severely burned and became a horrifying, ugly creature. But she thought that I had stuck my nose into her business and ruined her relationship with her crush. After we got married, she mocked my face multiple times in front of others and even brought her crush back home while I was around. She hated me even on her day of death. She said that if she could return to the past, she would rather die in the fire and not have anything to do with me. When I opened my eyes again, I returned to the moment before the fire. This time, I chose to give them my blessing.

My son, Jasper Cole, won the gold prize in an art competition. When I took off my apron and rushed to the award ceremony, I found that the painting titled 'Mother' was not of me but Maeve Leighton, my husband's secretary. Maeve pretended to be troubled as she told my son, "Your mom will be sad when she sees this painting." However, Jasper was unperturbed. "What does her sadness have to do with me? She's an ordinary-looking and incompetent housewife, always nagging me about what I can and can’t do. She's too strict with me. It's annoying! Maeve, I wish you were my mother. My dad doesn't like my mom at all. He's only happy when he's with you. He's only with my mom because he feels obligated." My heart broke at that moment. Since he no longer wanted me as his mother, it was pointless for me to stay. I called my dad. "Dad, I want to go home. Can you pick me up?" My dad could not believe it. He answered after a long pause, "Of course. I'll come pick up my brilliant daughter in three days."

For five years, I was Alpha Damon’s secret. On the surface, I was his personal Beta. His most trusted second-in-command. In private, I was his fated mate. The one he was obsessed with. He wanted to be inside me every night, to lose himself in my body forever. Then, I got pregnant. I was so excited to tell him we were starting a family. But when I went to find him, he had another she-wolf pinned to his desk. His bite marks littered her skin. "I waited ten years for my fated mate, but she never came," he growled. "Chloe. You will be my chosen mate. My only one." Her answering moan shattered my soul. My wolf howled in agony. The pain of his betrayal was so intense, I felt a horrible cramp. Then, blood. I lost our baby. When I woke up in the hospital, I made a call I hadn't made in five years. "Brother," I choked out. "That arranged mating with Alpha Ethan? I'll do it."

As the only daughter of a casino magnate, I have grown up surrounded by danger and betrayal. To keep me safe, my father has raised nine bodyguards from a young age. After I come of age, he asks me to choose one of them as my fiance. Everyone expects me to pick Harry Hunt, the man I have secretly loved for years. But I do not—not after what happened in my previous life. On the day of our engagement, I was kidnapped, and my hands were pierced with poison-tipped spikes. Tortured and desperate, I called Harry for help. His response still haunts me today. "Victoria, stop with these games. Your location shows you're still in the hotel suite. Trying to pull these pity stunts just to keep me to yourself? Pathetic." With another woman laughing in the background, I closed my eyes and gave up. As the iron cage sank beneath the waves and the sea filled my lungs, my life ended. Then, I open my eyes and find myself back on the day my father asked me to make a choice. This time, Harry's name is the first I cross off the list. But why is he crying and begging me to marry him at my engagement banquet with Jeffrey Reed?

As I stepped out of my older brother's newly opened supermarket, the alarm suddenly rang. The sales assistant grimly reached out and grabbed me, "Miss, you haven't paid yet." I remembered that my buttons were made of metal, which triggered the alarm. After patiently explaining and easing the atmosphere, I said, "The owner of this supermarket is my older brother. He'll pay the bill." The sales assistant scoffed. "Your brother's the boss? Why not say he's your husband instead? You stole and refused to admit it. Pay up or I'll call the police immediately," she said and crumpled the receipt into a ball before throwing it at my face. I endured the humiliation and unfolded it. A baby pacifier for 100,000 dollars. Two packs of baby wet wipes for 200,000 dollars. Security personnel's hush fee, 300,000 dollars. All of the miscellaneous expenses added up to exactly one million dollars. I laughed in anger. "One million dollars? Why don't you just rob a bank? Go and get Chad Surrey. I want to see how I ended up with such a heartless brother." She rolled her eyes. "Don't pretend if you can't afford it, thief. Is Mr. Surrey someone you can see whenever you want?" When my parents came to help me, I said, "Only one of us exists in this family. It's either me or her."

The admissions office calls and says my daughter's admission fee has been paid, asking when I'll come to handle enrollment. I'm completely stunned. My daughter, Natalie Steward, is top of her class. She's already guaranteed a spot in the city's best high school, Dream High School, with no admission fee required. Upon questioning my husband, Arnold Lewiston, he claims the admissions office must've made a mistake. He says, "I just wanted to surprise you, so I pulled some strings with the principal to get her into the accelerated track. You should talk to the teachers and make sure we get the best homeroom teacher so I can look good." As soon as I end the call, I slam the accelerator and head straight to the admissions office. On my way there, I call Lynn Warrens, my best friend who works in the State Department of Education. "Help me check under whose name Arnold paid the admission fee for his illegitimate child. I'm going to withdraw them from the school!" I say.

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."