Linear Independence Linear Algebra

Just as Justin proposed to me, a phone call interrupted him. Standing close by, I clearly heard the voice on the other end of the line. “Justin, I’m hurt. My leg hurts so much!” Justin snapped the ring box shut and looked at me. “Alice is injured. I’ll have to do this another time.” With those words, he sprinted away, leaving everyone around us staring in astonishment. I had never met Alice, but her presence lingered in every corner of our lives.  At meals, Justin would mention her fondness for sweet desserts.  When I dressed, I came to know her love for soft lavender hues. I argued, I wept, I lashed out, but Justin always countered with the same line. “You’re so jealous. Everyone has their first love. She’s my past, but you’re my future.” So, I turned to a man who had once called me his first love—Quentin—and made a bold proposition. “Let’s get married.”

"You're mine," he growls, his grip on me tightening. "And I always get what I want." +++ One day, the Immortal Sin named Cian admitted himself into a mental care facility. Six years before Amolet started working there. With hope to finally have independence, Amolet took the job without thinking much of it. That is until she meets the self-admitted patient, with unspeakable powers, shrouded in darkness and mystery. When he refuses to speak to her, her curiosity only peaks, her desire to get to know this sinfully perfect man too hard to walk away from. But the deeper she digs, the more of his past she discovers, piecing together a sinister reality. But it's a reality she can't escape from, as she's tied to him in ways she couldn't have ever predicted.

Benjamin Spencer took up the responsibility of raising Yvonne Johnson when her parents died during a holiday on the cruise. He took care of her, nurtured her, and gave her the care she needed. As time passed, Yvonne developed romantic feelings for Benjamin which he later found out. Astonished and dismayed, he decided to send her away. Five years later, she came back with a kid. What would be waiting for them in the future?

I wheel myself into the birthday celebration that Wales Price has thrown for me. The atmosphere is originally lively, but a brief silence descends when everyone sees me. The guests are there for different purposes, but celebrating my birthday is not one of them. "Is that Mr. Price's crippled fiancée, Joey Hertza?" "Yeah, but the one he really loves is Anna Giovanni. I saw them kissing in a corner earlier." They use their wine glasses to block their mouths as they speak loudly. They think I'm still the crippled deaf I used to be. They don't know that I regained my hearing last week. I can hear every mocking comment they make. Meanwhile, Wales stands there and allows it to happen. He doesn't stop the guests from talking about me. He seems to have forgotten that I only ended up like this while protecting him. I shoved him away when the accident happened and got trapped underneath the car myself. When I was rescued, Wales swore to stay with me and care for me for life. It's only been three short years since then, but he's already changed. I receive a message on my phone. "Ms. Hertza, the lifelike corpse that you've ordered is now complete. Reply to this message with your confirmation, and your death-faking service will be immediately effective. We will send the corpse to your and Mr. Price's wedding in five days." I don't even hesitate as I reply with my confirmation. Enjoy your wedding, Wales.

My boyfriend, Allen, is a fitness coach who is cheerful, handsome, and has eight-pack abs. After getting together with me, he transferred all his female students to other colleagues and would send me daily check-in photos. In anticipation of becoming his fiancee, I happily prepared for our engagement ceremony. However, two weeks before the ceremony, I discovered a bright red lipstick mark on Allen’s workout pants. I quickly pulled up the check-in photo he had sent me that day. Through the reflection on a dumbbell, I saw a woman standing next to Allen—her lips painted in the exact same lipstick color. Most of the previous photos had flaws, but I had trusted Allen too much to notice them. Looking at his message under the photo, I let out a cold laugh. "Baby, I have to work overtime today to train a male student." He actually dared to deceive me. Just then, my phone rang. It was the wedding planning company confirming the engagement ceremony setup. I quickly responded with a confirmation. The ceremony would proceed as planned—except I had a special surprise prepared for Allen, one he would never forget.

To get rid of our pup and date with his assistant on Valentine's Day, my mate Marcus forced our injured pup to go rock climbing and poisoned him. When I rushed my dying pup to the hospital, I unexpectedly saw my mate accompanying his assistant for a prenatal checkup. Our terrified pup lay convulsing from the poison, but Marcus didn’t even care about him. "He's just an Omega. If he was a proper wolf, he'd heal instantly!" I clutched the $100 million Moonlight Blessing herb in my pocket. I accidentally found it in the forest this morning. I was planning to tell him the good news today. But now? It was time to break this five-year mate bond.

For another girl, Lex Hamilton—my fiancé of several years—dumped me in the middle of nowhere and left me to fend for myself. Three years later, he showed up with her to bring me back. "It's been three years," he said. "Even a dog would've learned its lesson by now. I did this for your own good. If you don't fix that attitude of yours, don't expect to ever become my wife." They thought I'd crumble. They thought I'd beg, cling to him, and unload all the pain and humiliation I'd carried for the past three years. Instead, I smiled. "Sorry, Mr. Hamilton. I'm already married."

My husband searches for doctors everywhere to cure me of my stomach cancer. I think he loves me to the core, but after I recover, he takes away my left kidney to save his true love, who's been comatose for two years. He leans down to kiss her as I watch. "She owes you this; I've finally made her repay you. You'll definitely get better after this." What he doesn't know is that I'm already weak from the cancer. I die after he takes my kidney. That's when he goes crazy. He breaks down in tears and screams at the doctors. "Didn't you say she wouldn't die?"

I found out I was pregnant in the middle of a fight with my husband. How should I tell him without embarrassing myself too much? I decided to ask the Internet, and the netizens gave me a ton of advice based on their years of experience reading novels. One, run away with your unborn baby. Two, pretend to gag over lunch. Three, put his number into the abortion registration form… When he came to me in a frenzy, I belatedly realized, ‘Crap, I think I went too far!’

Around the seventh month of my pregnancy, I overheard a conversation between my mate, Zane Andrews, and Ciara Phillips, the she-wolf I had taken in out of compassion after her family was brutally slaughtered by rogues. In a sultry, flirtatious tone, Ciara purred, “Zane, my love, if your wife discovers that the fertilized egg I planted in her womb isn’t truly hers by blood, she’ll be devastated—perhaps to the point of despairing suicide, don’t you think?” Zane snorted, his voice dripping with disdain at the mention of me. “It’ll work for us if she simply dies from heartbreak. Damn it. I can’t shake the worry that she might sever our bond and leave me with nothing. Let’s keep this under wraps until our child inherits all her assets. Only then will we reveal the bombshell, plunging her into darkness.” Ciara giggled, praising Zane for his cunning. My claws itched to lash out, but I held back, knowing the time for confrontation wasn’t yet. My heart sank as their betrayal cut deep. Years ago, I had defied my pack elders’ warnings about Ciara being a potential threat, taking her in and grooming her into our pack's doctor, funding her education out of sheer empathy. Now, I regretted every moment of my kindness. To think that my mate, who had once begged for my protection for his fragile pack, had the audacity to betray me. If not for my support, his pathetic pack would have crumbled long ago, leaving him nursing his wounds in a dark corner, fretting over survival. After a long moment of contemplation, I made my decision. I would feign ignorance to their schemes and play along by giving birth to Ciara’s baby. Two decades passed. Ciara’s child grew up, bearing the name Simon Andrews. Aware of their treachery, I still transferred all my assets to him. Once the paperwork was completed, Ciara boldly approached me in front of the entire pack, a maternity DNA test in hand. With a smug smile, she declared, “Leia Holland, look at this! I am Simon’s biological mother. Leave h