Linear Independence Linear Algebra

My family and I have gone on a vacation to an island on All Hallows' Eve. Alas, that's where we get trapped by a flood as well. The tour guide claims that someone among us has committed many misdeeds, resulting in the flood. That person's antics have offended some malicious spirits, it seems. As long as the sinful culprit is thrown into the water and drowned, everyone else can leave the island safe and sound. "Here's a piece of information for you—the offenders are a family of seven. As long as all seven of them are dead, the rest of you get to survive." My heart goes tense at the tour guide's words. My family consists of seven people! Are we supposed to get annihilated on this island? "That's bullshit! How is the flood related to malicious spirits?" "Floods are caused by natural disasters! How are they related to people?"

The new project was short on staff. Over everyone's objections, I pulled three former colleagues out of an overlooked department where they'd been warming the bench for years. The four of us became the project's core team. The bonus was generous, the workload light. They all said I was their lucky charm. Three months later, with delivery just around the corner, I passed the break room and overheard them talking. "The biggest credit for this project belongs to the three of us. Why should Chloe get an equal share of the bonus just because she recommended us? She barely did any real work." "Exactly. Let's talk to the director. We'll say all the core work was done by us, that she's not up to the task. We'll apply to have her removed from the contributors list." "Just thinking about not having to split those tens of thousands with her—it feels amazing." I pushed the door open. They stared at me, stunned. I smiled. They wanted to kick me out? Too bad. I was the director who parachuted in to evaluate them.

When I follow my boyfriend back to his hometown, I accidentally discover the wounds and scars all over his sister's body. Then, an old lady in the village tells me to flee as quickly as I can. This makes me shudder. Before I can process what's happening, I run into my long-lost best friend at my boyfriend's uncle's house. The way my boyfriend looks at me becomes increasingly creepy…

I’ve always felt the child that I’ve cared for the past three years was not mine. My mother-in-law told me I was overthinking and was just tired. However, I remember it clearly. My child had a birthmark on their left arm.   Even my husband said it was nothing more than a dream I had after passing out during labor.   Still, I began to suspect that my in-laws swapped my child at birth.  

I was feeding my seven-year-old daughter, Lucy Langer, when Robert Langer crashed through the front door, reeking of alcohol. His shirt collar hung askew, and red marks blazed across his neck. "Audrey," he said hoarsely, "someone spiked my drink at the charity gala. But don't worry. I've already had my lawyer handle it." I nodded. After so many years of marriage, I knew he only had eyes for me and our daughter. He never strayed. Or so I believed… until eight months later. While Robert was away on a business trip, his cruise ship caught fire. The news dominated every channel. Clutching a sobbing Lucy, I rushed to the hospital, only to find him swathed in bandages, standing outside the maternity ward. "Becca is pregnant," he murmured. "It was that night at the gala… I didn't think it would happen from just once…" He gulped. "When the fire spread, she saved me. But she… got trapped herself." A newborn's wail pierced the corridor as the delivery room doors opened. Becca White was wheeled out, looking pale and exhausted. She clutched my sleeve and pleaded desperately, "Audrey… my babies can't grow up without a father…"

In the second year of our marriage, which Brett Mason had secured through relentless means, he brought home his latest conquest—a stunning blonde. As the door swung shut, he ran his fingers through her silky hair, flashing me a smug, triumphant grin. "Wanna join us? You might learn a thing or two about not being such a dead fish." I could still recall how he once adored my hair, claiming that just stroking it would melt away his deepest worries. It turned out any woman could serve that purpose. In that instant, a profound sense of release washed over me. I retrieved the divorce agreement I'd stashed away in a drawer and handed it to him. "Sign it, and I'll make room for her." My days were numbered, and I had no intention of wasting what little time remained entangled in his resentment.

"My incubus has been with me for a month, but he still won't let me touch him. What could be the reason for that?" I type my questions into the customer service feedback form and wait for a reply. The customer service representative replies at once in a very helpful manner. "Dear customer, our incubi are all very eager to stick to their owners like glue! I'm afraid your issue might be due to a malfunction on his end. "We can apply for your incubus to be replaced with a new one instead, and he will arrive in a week." I look at Riven Sterling, the incubus whom I had made tailored specifically to my tastes. After a moment of thought, I decide that maybe I can just wait and observe for a while longer. If he still doesn't change for the better, then I can perhaps send him in for repairs. After all, Riven is just too perfectly aligned with my tastes. I can't bear to give him up. However, at the family dinner, I quickly realize that Riven is having a reaction toward my younger stepsister, Teresa Ashford, who is sitting across from me. It's only then that I recall that Teresa is the one who opened my parcel the last time Riven arrived at the doorstep. That night, I contact the customer service representative again and say, "You said that the new replacement would be arriving in a week, right? Please send it out, then. Thank you."

My husband's first love ran off to a nightclub. She was drugged and assaulted there, and a year later returned with a child. Without a word, Bryson Tanner dragged me to the courthouse to file for divorce. "In this world, widows and orphans are easy prey. I can't just watch Christina get hurt. I'll acknowledge her child as mine." I held my own child in my arms and calmly filled out the paperwork. Just because I was reborn. In my previous life, I had refused to divorce at all costs. I'd also publicly exposed Christina Floyd's tangled affairs with men. She endured scorn and humiliation, and in a fit of anger, left her son behind to escape… only to die on that train. When Bryson heard of it, he showed no expression. Yet a month later, he watched coldly as I was drugged and assaulted, and accused me of cheating and giving birth to another man's child. It wasn't until my child and I were driven to death that I realized the depth of his hatred. When I opened my eyes again, I was back on the day Bryson asked for a divorce.

I am a pureblood succubus. Every seven days, desire consumes me. Stuart Newlin always complained that I clung to him too much, that I distracted him from his grand ambitions. Then, at the peak of my heat, when I needed him most, he blew me off. He chose to go to his female friend's prenatal appointment instead. The thing is, a succubus can't survive without being fed. Without that energy, that devotion… I wither. Unfortunate as it was to fall into the hands of a neglectful master, I had no choice but to seek another. My new keeper bore the bloodline of the Black Serpent. He had double the virility. Night and day, he poured himself into me. He worked tirelessly; I was more than satisfied. So when Stuart showed up with a massive bouquet of red roses, hoping to coax me back, what greeted him was the sight of me, flushed and glowing, curled up in another man's arms. His eyes burned with rage as he went mad, smashing everything in the house, raging that I was unfaithful, that I dared take another man to my bed. Smiling, I leaned into my new master's embrace and introduced them. "Let me make the introductions. You two have more in common than you think. After all, I've slept with both of you."

On the week before Valentine's Day, I want to buy my husband, Grayson Strickland, who works as a university professor, an electronic toothbrush as a gift. That's when I see a review with over ten thousand likes on a particular online store. "I recommend buying from this store! This store's electronic toothbrush is super durable! I've never had to charge this toothbrush for half a year!" Three days later, an additional response is made to that comment. "I'm sorry for misleading everyone. It turns out that my husband has been charging this toothbrush this whole time. It's my fault for being such a doofus! I even pestered him for a long time before I finally found out that he has done a lot for me! "I never have to add toilet rolls to the bathroom. All I thought is that the same toilet roll is extremely thick. The membership that I have on the TV app is often paid for and extended, and yet I thought there was a bug in the app software somehow. Some time ago, the peeling dry skin on my lips miraculously healed. It turns out he was the one who kept applying lip balm onto my lip at night. "He's a university professor, you see. In the past, I often blamed him for not knowing what being romantic was like. But now, I finally realize that those who love you will have a way of showing you how it's done." The rest of the comment section is filled with wailing complaints. They all complain that Valentine's Day isn't even here, and yet they are already sick of the lovey-dovey atmosphere. Amid the Internet users' constant requests, the poster finally uploads the handsome side profile of her husband. Feeling rather envious, I tap on the photo, only for my smile to freeze on my face. That photo actually features Grayson! As I stare at my mother-in-law, who has been paralyzed in bed for the past six years, I recall the fact that Grayson lives on the university campus all around the year. That's when uneasiness begins plaguing me. As expected, when I bring my marriage certificate to the County Clerk’s office and ask about it, the clerk points at the stamp and says, "Your marriage certificate is fake. Mr. Grayson Strickland's spouse is another woman named Callista Whitman." My fingers go slack subconsciously, causing the fake marriage certificate to fall to the floor. A chuckle of despair escapes my lips. Everyone knows that Callista is Grayson's student. She's his most prized student as well as the person who knows him the best. As for me… I'm just a free caretaker whom he has "hired".