Linear Independence Linear Algebra

At one in the morning, the neighbor upstairs suddenly knocked on my door. He said there was a leak in his apartment and asked if our place had been affected. I was just about to open the door when my vision was flooded with comments. [Open the door, and you're dead! That man outside is not your neighbor!] [Didn't the old man upstairs who lived alone go to Marcasia last week to find his new love interest? There shouldn't be anyone up there at all!] I immediately pulled away from the doorknob. At that moment, an emergency notice popped up in the residential property chat. [Unit 1307 has a burst pipe with severe leakage. Property management will inspect the building's water system.] [Is anyone home in 1207? We need to check whether your ceiling is leaking. Please open the door.] Unit 1207 was my place. The comments flooded my vision again. [What kind of property management does inspections at one in the morning? They're in on it together!] [Bea, stay hidden! Your destined man will descend from the heavens to save you!] I nodded solemnly, as if I was taking them very seriously. I turned around and grabbed my climbing rope. Amid the hysterical screaming of the comments, I leapt straight off the balcony. I'm someone who got a second life. Last time around, my entire life was ruined by listening to these brain-dead comments. This time, I'd rather die from the fall than end up as a breeding machine again.

The end of the world was upon us, but there weren't enough spots for evacuation. The roars of the zombies echoed in my ears as my fiancé, Oliver, gritted his teeth and pulled me onto the rescue vehicle—securing the last available seat. I arrived safely at the survivor base. Lina, his first love, did not. The zombies tore her apart. Oliver still went through with our marriage, but I never expected that he had only done so to make me suffer. In his eyes, I was the one who had killed Lina. If she had to endure such agony, then I should, too. For five years, he hated me. My life was worse than that of a stray dog scavenging for food on the street. On the day my divorce was finalized, he kidnapped me, dragged me into the wilderness, and wrapped his fingers around my throat. Then, he threw us both into the swarm of the undead. When I opened my eyes again, I was somehow reborn on the day the apocalypse began. The rescue team was shouting impatiently, "One more! We have room for one more—hurry!" I turned to Oliver, watching his hesitation. Then, with a quiet smile, I took a step back and let someone else have the last seat.

After returning from my business trip, I saw my wife lying on the couch in an alluring position. I initially thought it was a surprise, but the next moment, I spotted a hidden camera in the corner of the TV cabinet. It turned out that my wife had been secretly...

On my wedding day, my arranged fiancé abandoned me and chose my sister instead. As I became the laughingstock of every elite guest in attendance, my business partner James Crawford shocked everyone by publicly proposing to me with a passionate declaration of love. After we married, he was incredibly attentive, especially during my pregnancy when he catered to my every need. I thought my suffering had finally ended. Until I overheard his confession to my sister: "I've only ever loved you." James's voice carried a passion I'd never heard him use with me. "Marry her? I was only after her resources, connections, and her talent for making money. She's nothing but a useful cash cow." "Now that she's pregnant, even better." His tone was coldly calculating. "With the baby, she'll be even more dependent on me, more devoted. She'll never leave." Everything I had treasured—our love, our marriage—was all a lie. Learning the truth, I turned and walked away without a word. I was done with this charade. Everything that belonged to me, I would reclaim with my own hands.

On my fifth birthday with Zachary Murdock, I sit once again in front of a full table of cold food, just like every year before. Zachary had promised, as always, to spend the day with me. And, as always, he breaks that promise. This year, it's because his childhood sweetheart wanted to shoot a set of "artistic photos". She invited him and a few of his close buddies to be part of it. Without hesitation, he ditches me again and runs straight into her arms. At 11:00 pm, his childhood sweetheart posts a photo to her social media and sets it so that only I can see it. In the picture, four men are in nothing but black briefs and Windsor-knotted ties. They kneel around her while she is draped in sheer fabric like a goddess. The caption reads, "Some people beg for crumbs, but I own the entire bakery." I take a screenshot. Then, I send it to the girlfriends of all three of Zachary’s best buddies. If they all look down on me this much, let's hope they don't end up on their knees begging me someday.

On our fifth anniversary, Alpha Liam gave me nothing more than a simple pack mark of protection. That same night, he held a bonding ceremony with his first love, the she-wolf Seraphina. I refused to accept it. He accused me of being irrational. “My bonding with Seraphina is for the future of the pack, not because I still have feelings for her.” “You’re only human. Shouldn’t my pack’s mark be enough? This was your final test, Elena, and you’ve failed.” I walked away. And he turned around and proposed to Seraphina. Five years later, we met again at an exclusive hotel designated by the Alpha Council. His pack was on the verge of becoming a major power, and he had Seraphina, draped in a moonlight silk gown, on his arm. When he saw me, covered in sand and standing ankle-deep in the hotel’s ornamental fountain, he frowned. “Elena,” he scoffed. “You looked down on my protection back then. Look at you now. I bet you can’t find a single pack in this city willing to take in a human.” “And don’t think this pathetic display will make me take you back.” I ignored him. My cub’s treasured moonstone, a gift he’d found while combing the beach, had slipped into the fountain. The little guy was beside himself, and I had to find his precious amulet.

My husband's parents are dead. He says I'm now his sister's mother figure and need to care for her like she's my daughter. I work myself to the bone to feed her and pay for her expenses, but she's not happy with that. "My classmates drive to school and have trips abroad, Lorey. Can't you work a little harder?" She takes my car away and treats me like a maid. That's still not enough for her, though. When she finds out that I'm pregnant, she threatens to take her life. "You said you would care for me like I'm your daughter. I won't let you give someone else what's supposed to be mine!" I curse her in my heart. Who gave her the nerve to act like this?

At the reunion, someone asked when I was getting married. Grinning, I pulled out the invites. "Mid-October. Be there." Cheers broke out. Everyone peeked at the girl next to me. "You've been with Daphne forever, right? Finally making it official?" Daphne hurled her drink at me. "Ethan Everett, is this your idea of pressuring me into marriage?" The room froze. I wiped my face, cool as ever, and opened the invite in front of her. "Maybe check the name. It doesn't say you're the bride."

“Camille, I’ll love you forever!” Jameson let out a low, agonized growl. Just as he was about to climax, his phone suddenly began to buzz. He ignored it, of course. Now was hardly the time. However, his phone lit up again. The moment he saw the text on the screen, his body froze. Camille heard him answer the call. “Hello?” In the deep silence of the night, the voice on the phone cut through the stillness, clear and unmistakable. “Jameson, did you know that Sylvia—” Jameson switched languages and cut in with a sharp command, “Keep it down. It's not a good time.” The other person switched languages too, though he was still loud. “The hospital results came in. Sylvia is in the final stages of cancer. She only has a month left! Her last wish is to become your wife. Can you grant her that before she passes?” Jameson’s expression changed immediately. “What?! Wait for me!” He ended the call and turned to Camille. “Camille, something urgent came up. I need to step out for a bit. Be good and stay home. I’ll be back after you’ve had some sleep.” Before she could respond, he rose to wash up, changed his clothes, and left without looking back. Moments later, her phone buzzed. Sylvia: [Camille, you lost. I told you—Jameson has always been mine.] Right above it was a message from three days ago: [If I tell him I have cancer, do you think Jameson will leave you and come to me? I bet he will.] Camille’s gaze slowly shifted from her phone screen to the open bedroom door. What Jameson did not know was that she had already picked up a new language. She understood every word of that call. After a long moment, a faint, bitter smile appeared on her face. “Yeah, I lost...”

My daughter’s kindergarten held a family event, and I rushed there, only to see her holding hands with my wife’s male secretary. “Daddy,” she said, “I wish our family could stay like this forever.” I watched as the three of them hugged, radiant with happiness. Suddenly, exhaustion washed over me. Later, I filed for divorce. Then I left to teach in rural villages for thirty years. If I couldn’t light the lamp in my own home, I’d at least illuminate the path for others.