Linear Independence Linear Algebra

My contract with the company is about to come to an end, and I'm already planning to renew it. But a few days before that, my boss, Dustin Kline, requested that I lower the percentage of my bonus in the project. The reason he gave is that I'm still young. Even if I were to take over other projects, I'd also do a good job. Dustin even made empty promises to me just so he could get me to give the projects I'm in charge of to Sandy Richmond, the new department manager in the company. When I refused to do so, he threatened to not give me my salary in order to get me to comply. The next day, the company is reduced to a laughing stock at the product launch event. Our client thinks the company's technological skills are too weak to back up the big talk, so they refuse to pay the remainder of the contracted sum. When Dustin begs me for help, I just look at him in amusement. "I refuse to get manipulated by anyone in this workplace. You're more than capable of dealing with your own problems. I believe in you, Mr. Kline."

I've gotten into an accident. When my childhood friend, Jason Patel, drops by to visit me, I feel like pulling a prank on him all of a sudden. So, I ask, "Who are you? I've lost my memory." He's left feeling stunned for a moment before he reveals the fake smile that he often wears whenever he pulls pranks on others. "I'm your boyfriend, Jason Patel." My heart begins pounding wildly in my chest. I decide to go along with this little prank. That summer of us playing pretend has to be the happiest time of my life. But when Giselle Ford returns to our lives, Jason immediately clears the air between us. It turns out that he and Giselle have had a crush on each other during their high school days. Unfortunately, they missed the chance to date each other. What am I to them, then? So, I can only grant their wish of wanting to stay together. That's why I laugh and call Jason out for being an idiot because he can't even tell that I faked my memory loss. Unexpectedly, I get into another accident some time later. When I wake up, I ask Jason who he is again. Impatience flickers across his expression. "Don't you feel lame for using the same trick twice?" What he doesn't know is that I've truly lost my memory this time.

Maude Ellington's fiance sends a message to his first love before their wedding. "You've always been the one I wanted to marry." With their wedding fast approaching, Maude watches him meticulously plan every detail with his first love in mind. She quietly lets it all go. Because she no longer wants the wedding. And she no longer wants him.

Caleb Finley tells me he wants to have a child with me during the year when our love is at its strongest. I agree, but that very same night, I fake my death and make my escape, becoming his first love who meets an early death. Six years later, the system seeks me out, on the verge of a breakdown. "Ms. Rockworth, Mr. Finley told me to let you know that your son has just entered the operating room. Do you want to visit him?" "I never gave birth to his child," I answer calmly. The system breaks down even more. "He lost his mind and suddenly turned evil on the night you faked your death. To maintain the balance of the world, we gave him a child who has both your genes. "Now that he has completely gone insane, he told me to tell you that you must meet with him today. If you don't, he'll remove your son's oxygen tube."

I was born with a rare condition. My blood carried healing properties strong enough to neutralize any poison. When Garrett Frank, the young heir from Osbury, was bitten by a venomous snake, he was hanging by a thread. In that desperate moment, I slit my wrist and used my blood to cleanse the venom from his body. Only later did I find out that whoever saved Garrett's life would become the future Mrs. Frank. But after Garrett took over the family business, the first thing he did was drain every drop of blood from my body and have me chopped up and fed to his dogs. "At that time, Loretta had already brought the antidote," he had said coldly. "If you had just waited another five minutes, I could've married her openly and honorably. "But you had to interfere. You stole her place as Mrs. Frank, drove her into despair, and pushed her to take her own life. Since you claim your blood can cure any poison, let's see how much antidote it can make." They bled me dry and threw me into a cage for his dogs. I died there, torn apart and unrecognizable. Afterward, my parents went bankrupt because of the Franks. Both of them took poison and died together. When I opened my eyes again, I was back on the very day Garrett had been bitten by the snake. Michelle Frank, Garrett's mother, looked at me with desperate hope. "I heard you have that rare healing blood," she said. "Will you please save my son?" I quickly shook my head. "That's just a rumor, Mrs. Frank. And honestly, using blood as medicine sounds pretty unsanitary. Please don't worry. I heard Ms. Huber is on her way with a special antidote. Your son will be fine!" Still, a small part of me couldn't help looking forward to what would happen. If I didn't step in this time, Garrett wouldn't just fail to inherit the family business—he'd be lucky to live another month!

During the New Year's Eve dinner, my pineapple juice was secretly swapped for alcohol. But I had taken cephalosporin earlier on. The doctors used a lot of effort to save me, but my wife, Jennifer Robinson, shielded the person who was responsible behind her. "This matter ends here. Be generous and forgive him. He didn't do it on purpose." I didn't plan on letting this man off so easily. He had an ambiguous relationship with my wife. But Jennifer interrupted me with a frown. "That's enough! He's only a fresh graduate. What's the point of making a fuss? Do you have to ruin the rest of his life to feel satisfied?" I looked at how my wife was protecting him and my heart sank. "Then you two can spend the rest of your lives together."

Gavin became Alpha right after our mating ceremony. His older brother, Damien—the former Alpha—was dead. Killed by a rival pack from the North. Gavin took his brother's mate, Sarah, and headed north. He claimed he was avenging his brother. He swore he'd expand our territory. He told me the expansion was too dangerous. He didn't want me to get hurt. So I was left behind. Left to rule a dying pack in the south, with only my healing gift to keep us from collapsing. I bled myself for healing serums, all to ensure his northern campaign didn't falter. Every time I sent word asking when our packs would merge, he'd give me an excuse. His position in the North was unstable. They'd just finished a war. It wasn't the right time. Seven years later, the pack couldn't hold on any longer. I sent Leon, my last remaining beta, to find Gavin. Leon’s message back told a different story. Gavin's new pack was already one of the three great powers in the North. And he had a pup with Sarah. A public one. Pain, sharp and swift, lanced through my chest. I marched to the pack elders and demanded they sever our mate bond. Then, I sent a message to the Healers' Guild that had been recruiting me for years: "I'm severing my bond. I'll be packless in three days. Tell the Guild I'm in."

On my wedding day, Levi Robbins' "close friend" Gina Fields suddenly fainted. Without hesitation, he dropped everything and rushed to the hospital, leaving me at the altar. My mother, witnessing this humiliating scene from her seat, suffered a heart attack. Yet, none of the guests bothered to help as they were too busy gossiping and laughing at my misfortune. By the time I managed to get her to the hospital, we had missed the critical window for treatment. Just then, Levi finally called, his voice urgent and demanding. "Caitlyn, where are you? Gina's condition is critical, and she needs your bone marrow!" "Levi, we're done," I said firmly, hanging up and walking away. This time, I would not look back.

"I've transferred the three hundred-dollar rent to you. Thanks, Samuel." A contact named Misty has sent my husband, Samuel Tucker, a message on WhatsApp. I snatch his phone immediately, only to be stunned by what I see. "Rent? Samuel, you told me that this is the income you earn from your part-time job!" Samuel's expression freezes on his face. Then, he tries to snatch his phone back. "Darling, my brother has already passed away. It's difficult for Misty to raise two children on her own…" As I caress my tiny baby bump with a hand, I feel my heart sinking at his words. "Which residence is this rent for?" Samuel parts his lips hesitantly. A long time later, he finally tells me the residential area's name. I'm completely flabbergasted at that point. The luxurious apartment sitting in that particular area is an asset that my deceased parents have left for me. Also, the rent there is worth 10,000 dollars. Yet, Samuel has rented it out to my widowed sister-in-law, Misty Patterson, and her children for only 300 dollars!

After my best friend, Penny Hallmark, found herself a wealthy man, she suddenly became a different person. I had done nothing more than glance at her husband, Martin Rembrandt, yet she slapped me hard across the face. “I treated you as my closest friend, but you dared seduce Martin right in front of me. He’s Chris’s brother! Have you no shame at all?” Her accusation brought tears to my eyes, but Penny resorted to locking me inside a reservoir. “What are you playing at anyway? Fine. Let me give you something to really cry about!” I nearly drowned, and she uploaded photos of me soaked to the skin, claiming online that I was behaving indecently. I became the target of cyberbullying, my boyfriend, Christopher Rembrandt, proposed a breakup, and in utter despair, I decided to end my life. Yet my best friend mocked me coldly. “Do you really think I don’t know your little tricks? You’re just pretending to be pitiful to gain sympathy, aren’t you? “That won’t do at all, Rose. Let me give you a hand!” She pulled out my breathing tube, and only when my life completely slipped away did she smile in satisfaction. “Good. Now I can enjoy both Chris and Martin’s affection.” When I opened my eyes again, I had transmigrated into the body of Chris’s mother, who had just passed away. Given a second chance at life, I was determined to make Penny pay. After all, the man she loved most was nothing more than a hopeless mama’s boy.