Linear Independence Linear Algebra

My girlfriend is the true heiress of a wealthy family, yet she suffers from severe paranoia. She's convinced that everyone is out to exploit her. She never believed in my love. In her eyes, I stayed with her only for status and money. To prove my sincerity, during our seven years together, I never spent a single cent of hers. I handed over every paycheck I earned. As for myself, I couldn't even afford a few dollars for a taxi. Every day, I walked five kilometers to work. Then one day, my mother was in a sudden car accident. The doctor called and told me to come see her for the last time. The hospital was thirty kilometers away. There was no way I could make it on foot in time. Left with no choice, I asked my girlfriend to transfer me thirty dollars for a taxi. She flew into a rage. "Simon, thirty dollars is your entire monthly living expense. How dare you ask me for that much all at once? I almost believed your feelings were genuine. But now I see—you're no different from those gold-diggers!" In the end, I never made it to see my mother one last time. When I returned home in a daze, I found my girlfriend throwing a birthday party for her childhood sweetheart. He was wearing the latest luxury watch, his face full of smug pride. "This is the one you bought at an overseas auction, right? Worth thirty million," he said. "You wouldn't even give Simon thirty dollars for a taxi. You're really generous with me." My girlfriend smiled indulgently. "It's only thirty million. It's not like I can't afford it. "Besides, how could Simon ever compare to you? Today, he dares to ask me for thirty. Tomorrow, he'll dare to ask me for thirty thousand. "I've always known it. He's been with me just to take my money." I stood there, frozen, my heart sinking into the abyss. 'It's fine. I don't want her money anymore. And I don't want her, either.'

My sister, Yvonne Jones, tried to murder the childhood friend of a rich heir in order to seduce him. Yvonne poisoned the woman's drink and pulled out her oxygen tube after she was sent to the hospital. When the rich heir arrived in a rush, Yvonne cried in his arms daintily. "I'm so sorry. This is all my fault. I failed to protect her." I witnessed everything in the ward but didn't say a word about it. In my previous lifetime, I stopped Yvonne from poisoning the woman. I knew the rich heir would never let her get away with it if he found out about it. Yvonne was forced to give up her plan and even praised me for my foresight. However, she ended up poisoning me instead and stabbed me in the heart with her dagger when I got dizzy. "This is your fault! Die! If you hadn't stopped me, Sean Graham would've been mine!" When I opened my eyes next, I had returned to the day of the poisoning.

My fiancé’s first love Chloe had returned. Rumor had it she’d been overseas, treating some rare disease. I hadn’t believed it—until the day she showed up at my engagement party. And I watched as the man I’d been hopelessly in love with since I was sixteen left our party with her. “Wait for me,” Nathan said, “She is fragile. I need to make sure she is well.” He ignored me, but accompanying her to everywhere. I threw away the rings, trashed the wedding gown. When I was pale and trembling from a heart failure later. Nathan finally showed up. “Don’t you dare die on me, Emily,” His hands were shaking. His voice cracked. “We still have a wedding.”

The day my father jumps to his death, I'm taken in by Scout Saccone, an influential scion. He treats me like a princess for eight years, turning me into the target of everyone's envy. However, everything changes when he walks right into a trap and has a wild night with me after being drugged. I can't stop myself from confessing my deep-seated love for him when at the peak of my flame. To my devastation, he thinks I drugged him to have my way with him. He berates me for being shameless and hedonistic. The following day, he announced his impending marriage to his childhood sweetheart. Everyone thinks I'll kick up a fuss as I've always done, but I merely take a pill to end my pregnancy. Then, I leave without a word on his wedding day.

On the day of my daughter Eleanor Baldwin's second birthday party, my entire family stood nervously by the banquet hall entrance. They were not there to greet guests, but rather to keep me from showing up and causing a scene. Mom's face was written all over with anxiety. "Lucas wouldn't actually crash the party, would he?" Dad's brow stayed tightly furrowed. "Who knows? That disgrace of a son is capable of anything." My younger brother, Cody Baldwin, had his arm wrapped gently around my wife, Kendra Clarkson, trying to reassure her. "Don't worry. If Lucas dares to show up, I'll keep you and Ellie safe." Kendra nodded slowly. "If it really comes to that... maybe we should just let Ellie be his goddaughter. At least then, we're still family..." However, the party came and went, and I never appeared. I had already made up my mind to join a classified national defense research program. Only this time, it was for good.

At Ryder Quinn’s kindergarten parent-child sports day, I expected my husband, Michael Quinn, to be away on a business trip. Instead, I found Michael on stage, dressed in a ballet tutu, dancing as one of the "little swans" in the fathers’ performance. I had barely taken a step forward when a little girl in a floral dress darted into his arms, calling out to him in the sweetest voice, "Daddy!" There they stood: Michael, his assistant, Janine Carter, and her daughter—all in matching family outfits. The moment our eyes met, Michael quickly pulled away from her, fumbling for an excuse. "Janine’s a single mom. It isn’t easy for her. I was just helping out." I smiled, cold and steady, and handed him the divorce papers. "Then, do me a favor too, Michael. Stop wasting my youth."

Everyone in Harbor City knows that the city's prince, Brandon Schmidt, is a devoted husband. Countless homewrecker wannabes are dealt with before they can even reach me. But one day, I see Brandon's text conversation with one of his mistresses. "You're going to open up for me tonight." "It's so embarrassing to be doing this on your wife's bed." Meanwhile, my arm is shattered from dealing with one of his competitors. The conversation makes my stomach turn. So be it, then. No one's getting off easy now.

Just as my wealthy boyfriend and I were talking about getting married, his mother dismissed me as an unrefined girl and demanded I attend a finishing school to learn how to be a proper wife. Looking at Zach’s pleading gaze, I gave in. I endured relentless psychological and physical torment for three months. However, on the day I was discharged, I overheard a phone call between Zach and his friend. “Zach, if you don’t want to marry Cathy, why didn’t you just tell her? Why did you have to send her to that hellhole to suffer? That finishing school your family runs is a freaking torture chamber. Constant beatings, electric shocks, forced kneeling for hours… No one comes out of there the same.” “You don’t get it. Jen is about to get engaged, and I can’t risk Cathy ruining it. As long as Jen is happy, I don’t care who I marry. Cathy grew up poor, so she can endure a little hardship. Three months of hardship for a lifetime of Stein money is a fair trade.” My vision blurred with tears when I heard those cruel words from his mouth. I thought. “Zach, since you loved Jenna so much, why did you have to toy with my feelings?”

My fiancé’s pampered niece, Jenna Quinn, had just returned from abroad. The moment she got back, she caused a scene at our engagement party, throwing out so-called “evidence” of my alleged affair in front of the media. Zac Quinn had no choice but to leave me with the mess, clutching his hysterical niece as they left. His parting words? “This is just an engagement party. Jenna’s well-being is far more important.” After I painstakingly managed to control the public narrative and was waiting for Jenna to make a public clarification to settle the matter, she instead curled up in Zac’s arms, crying softly. Zac’s expression turned cold. “Jenna only has me, while you have so many people who love you. Why must you target her?” At first, I thought Zac was just being overly protective of his niece, who had lost her parents at a young age—until I saw the two of them kissing. “You’re the precious girl I’ve raised with my own hands. From now on, Nina will be your aunt, and she’ll shower you with love, too,” he said. I clenched the ultrasound report in my hand and, without hesitation, tossed it into the trash. Love that can’t be held onto isn’t worth keeping. I decided to return home, accept my family’s marriage alliance, and fully embrace my role as the heiress of the Walker Corporation.

Jack Cooke—my husband, who'd never so much as scrambled an egg—suddenly went full kitchen freak. He bought a ton of pots and spatulas, then spent all day just... polishing them. When I called him out, he shrugged. "I like things clean. That a crime now?" Behind him? A mountain of dirty socks. Then it got weirder. He dragged all the kitchen stuff into our bedroom. At night, he'd get weird with a dishcloth. Like, disturbingly weird. I was done. I asked for a divorce. Jack stormed into a private dining room and shredded the papers right in front of our investors. "You're seriously ending our marriage over this? Kinda dramatic, don't you think?" I didn’t blink. “I gave up my spot for your pots and pans. A little thanks wouldn’t kill you.”