Linear Independence Linear Algebra

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.

My sister and I were both blessed with naturally fertile bodies. My sister married a poor farmer in our village and gave birth to five sons. Their family thrived and escaped poverty. I married the wealthy ranch foreman, but only had daughters. My husband resented me for embarrassing him and beat me and our girls to death. When I opened my eyes again, I was back on the day the matchmaker came. I watched coldly as the ranch foreman unexpectedly chose my sister with the limp, and I realized he had also been reborn. He thought marrying my sister would guarantee him sons, unaware that he had a genetic condition preventing him from having boys. I pointed to the quiet, thin educated youth in the corner and declared: "I will marry him!"

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.

Two days before the full moon, my mate Derek, our pack Alpha, decided to take his Omega assistant Sarah hunting in the forest. I didn't argue or make a scene. I even lovingly packed his bags for him. He mocked me, saying my pregnancy had finally taught me to be gentle. After he left, I immediately went to terminate the pregnancy. All because in my previous life, when I prevented him from accompanying that Omega, his little assistant was brutally murdered by rogue wolves in the forest. Derek acted indifferent on the surface, but when I was about to give birth, he sliced open my belly with a silver dagger, removed our unborn pup, and cut it to pieces before my eyes. Only then did I understand he had resented me all along. With this second chance, I will leave him with nothing.

As soon as my husband sat at the dining table, he couldn't stop himself from talking. The humiliations of my school days had become his favorite entertainment, served up to his drinking buddies like appetizers. "Back then, she got her clothes torn off in the bathroom, beaten so badly she crawled on the ground like a dog, too terrified to make a sound. If it weren’t for my kindness—" That was it. I couldn’t take it anymore. I told him I wanted a divorce. He laughed it off, utterly unbothered. "Seriously? It’s just a joke! That was ages ago. You’re way too uptight—it’s just for a laugh, right?" For a laugh? Was I the only one with a past? Did he think he was untouchable? Maybe I should tell a few embarrassing stories about his precious childhood sweetheart. Fine. If it’s all about “fun,” I hoped his sweetheart found it equally hilarious when her turn came.

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."

What happens when a scentless and wolfless omega gets pregnant after a one-night stand with the alpha prince in a Lycan kingdom? In "Moon Haven," Scarlett Lewis discovers her hidden strengths and struggles to assert her independence while navigating the politics of the kingdom. But when tragedy strikes and rebellion threatens the couple, will they be able to overcome the challenges and build a kingdom of peace and inclusivity? Follow Scarlett and Marco's journey in "Moon Haven" as they navigate love, loss, and the responsibilities of parenthood in a world of power and politics.

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.”

Why does Cinderella have to marry a prince? May Holden, an independent, expressive young woman, finds herself thrown into the deep end of Hollywood. Just two months after graduating high school, she has become a household name. However starring as the lead role of the biggest book-turned-movie of the century is harder than it looks. Will May hold onto the little bit of independence she has left or will the hypnotic allure of fame brainwash her into thinking that she needs a man to be successful? Will her title as "The Wrong Cinderella" remain or will she lose sight of her true self when two dashing princes come her way?

Damian, my destined partner, is the alpha that all wolf girls dream of. For him, I went alone to the North, his pack. But for three years after we signed the contract, he remained chaste, staying at least three feet away from me, refusing to mate with me. I thought he was just busy with the affairs of the wolf pack and had no time to care about me. Until I stumbled upon Damian pinning Lyra, his sister, against a rough tree trunk, his mouth savagely devouring her lips like a wild beast. "You know I long for you, Lyra!" he roared. "Why did you force that boring Selena on me?!" At last I understood. The only person he truly loved was Lyra. He hurt me again and again for Lyra, and even when we were trapped in the forest and almost swallowed by the shadow plague, he ran away with Lyra in his arms without looking back. "Whether Selena can escape or not has nothing to do with me. You are the most important person in my world!" I was heartbroken, but he wanted to complete the final mark with me because of guilt. He didn't know that I had already dripped my heart's blood on the moonstone the day I found out about his affair with Lyra. Our mate bond had been completely broken long ago.