Linear Independence Linear Algebra

On my way to the bank, I stumbled across a post: [What's the most shameful thing you've done behind your partner's back?] One comment stood out: [I secretly married my first love, and my girlfriend keeps dumping money into our joint account like an idiot. She actually thinks I'm saving for a house. There's already sixty-seven grand in there. Once she hits eighty, I'm taking it all!] The flood of likes made my stomach twist. I pulled up my account balance. Sixty-seven grand. Not a penny more, not a penny less. So, my boyfriend secretly married his ex.

Walter planned sixty-six proposal trips just to win me over. On the sixty-seventh, I finally said yes. The day after our wedding, I gave him sixty-six "forgiveness cards." We made a deal: every time he upset me, he could use one to earn my forgiveness. Over six years of marriage, every time he made me angry because of his childhood friend Janet, Walter would hand me a card. By the time he used the sixty-fourth, he began to sense something was off. I no longer reminded him to keep his distance. I no longer needed him the way I used to. However, the last time he left me behind for Janet, I reached out, stopped him, and asked: "If you go to her again… can I still forgive you with one of these cards?" He paused mid-step and looked at me, half helpless, half amused. "If you want to use one, use it. You've got plenty left, don't you?" I gave a small nod and watched him walk away. He still thought those forgiveness cards would never run out. What he did not know was— There was only one left.

During the five years that Sophie Lord was married, she had been continuously doing IVFs and was finally able to become pregnant with Luke Shaw’s child. That same day, she saw Luke at the hospital with his secretary, Helen Jones. He was accompanying her for a pregnancy test. Sophie was devastated and asked Luke to choose between her and the child in Helen’s womb. “Let’s not make a fuss, Sophie. I’ll explain everything to you when I get back. You need to calm down first. I’m keeping this child no matter what.” He carefully supported Helen as they left, but what he didn’t see was the blood trickling down Sophie’s legs. Later on, when Sophie disappeared from Luke’s life, the latter brought down completely.

At the Thorn Pack banquet, Jacob Mason carefully cut the steak on my plate. His gentlemanly demeanor and meticulous attention to detail drew envious glances from those around us. "Our Alpha is so good to our Luna," a voice murmured from across the table. "You won’t find a more devoted mate in all of Southspire." I glanced at Jacob, a sweet warmth unfurled in my chest. I silently tightened my grip around the Moonstone Ring—a ring my father had left me, the symbol of power in the Lotus Pack. I had planned to give it to Jacob when the banquet ended, when we were alone. But as the evening wore on, the noise and the clinking of glasses became too much to bear. I feigned a slight dizziness, excusing myself to return to our castle ahead of him. In truth, I needed the time to prepare a surprise—something special to commemorate this night. When everything was set, I silently slipped back into the banquet hall, ready to take Jacob by the hand and whisk him away. But as I arrived, I stopped dead in my tracks. There he was, holding Hazel Rhea tightly in his arms. "Chloe is so rigid," he said. "Always clinging to the dignity of being the Lotus Pack Alpha's daughter. How could she ever compare to Hazel's passion?" "Don't worry," he added, his tone light with mock reassurance. "Hazel and I are just friends. Chloe won't feel betrayed." He laughed softly. "But don't tell her, alright? She's so old-fashioned—if she found out, she'd leave me for sure. Honestly, the thought of spending the rest of my life with such a dull partner… It's exhausting." Just friends? Is that what he called the way his hand slid beneath her dress—being "just friends"? I didn't interrupt them. There was no need to disturb their lively conversation. Instead, I slid the Moonstone Ring onto my finger. Without a word, I turned and left. In the quiet of the night, Xavier Grey—who had been following me all along—waited. Together, we set off on the journey I should have taken long ago.

My husband, James Lincoln, disappeared in an accident, and my in-laws wasted no time filing to have him legally declared deceased. At the funeral, a woman, Xena Xander, suddenly showed up with a young boy, both crying hysterically. The boy, Charlie Lincoln, screamed at the top of his lungs, calling my husband “Daddy.” My ten-year-old daughter, Mia Lincoln, charged at him, shouting, “Shut up! That’s my dad!” Pretending to break it up, my in-laws instead shoved Mia to the ground. She collapsed and passed out on the spot. “If you’re looking for someone to blame, blame yourself for not giving us a grandson! This family can’t die out without an heir!” Xena smirked at me with blatant provocation. Behind her, Charlie spat in my direction and sneered, “You’re just a worthless tramp nobody cares about.” I didn’t lose my temper. Instead, I laughed. “If you want the status and the inheritance so badly, you can have them. But don’t come crying to me when you regret it.” Two weeks later, Xena showed up at my doorstep, covered in blood, banging on the door and screaming. And then, I got a phone call that felt like a nightmare come to life. But I couldn’t have cared less. By then, I was already enjoying a peaceful vacation overseas.

I happened to come across the filming of a popular variety show, where a celebrity attempted to forcefully take over my greenhouse for a task. After I declined, people watching the live stream subjected me to continuous ridicule.In their relentless quest for higher ratings, the production team deliberately hyped up this matter like crazy.However, when my true identity was revealed, countless students from the Agricultural Academy rallied to defend these crops."Isn't she the expert in crop improvement for saline-alkali soil? My research thesis revolves around her remarkable achievements!""Anyone who dares to tamper with her crops will face dire consequences."

In my dormitory, there was a poor student. With all the good intentions in the world, my roommates and I were eager to help her, not realizing how much our help would cost. She wasn't impressed by the hairdryer we offered, insisting on borrowing a branded one instead. The skincare products we gave her? They were applied to her feet. And, as if that wasn't enough, she specifically demanded luxury face cream. One day, I lent her my tablet to look up some information, and to my surprise, she secretly opened up my gaming app, spent all the diamonds and reward tickets I had saved for half a year, and left me empty-handed. When I asked her to pay me back, she turned the tables and posted a public message online, accusing me. "I'm just a poor student from the countryside, never played games before. Are the materials in the game really worth this much?" Before I knew it, the comment section was flooded with criticisms of me. In a fit of frustration, I fired back with a post of my own, throwing her into the spotlight. "Well, I suppose you've never tasted the bitterness of being cyberbullied, have you?"

Upon hearing about my husband's surgery, I braved a typhoon and torrential rain, driving four hours back to the city. When I arrived at the hospital, my husband, Xander Gray, was lying on the hospital bed, calling out loudly, "I want my wife! Get my wife here!" His buddies around him joked about how his wife had him completely whipped. Everyone said he loved me to death. Blushing, I walked over with a happy smile and held his hand, saying, "I'm here." To my surprise, he shook off my hand in disgust and snarled, "Get lost! You're not my wife! My wife is Beverly Long!"

My sister abruptly returns to the country on the day of my wedding. My parents, brother, and fiancé abandon me to pick her up at the airport. She shares a photo of them on her social media, bragging about how she's so loved. Meanwhile, all the calls I make are rejected. My fiancé is the only one who answers, but all he tells me is not to kick up a fuss. We can always have our wedding some other day. They turn me into a laughingstock on the day I've looked forward to all my life. Everyone points at me and laughs in my face. I calmly deal with everything before writing a new number in my journal—99. This is their 99th time disappointing me; I won't wish for them to love me anymore. I fill in a request to study abroad and pack my luggage. They think I've learned to be obedient, but I'm actually about to leave forever.

What happens when a billionaire CEO goes to college? Faith is about to find out. Utterly and completely broke, Faith is forced to work three different jobs to support herself through college. Unlike her counterparts, Faith failed to get the good fortune of being born into a rich family. God's attempt to make it up to her must have been giving her a super sharp brain which is the only reason why she could attend the prestigious Barbell University on a half scholarship. But, with the remaining half of her tuition going into $35,000, Faith is forced to slave away night and day at her part-time jobs while simultaneously attending classes, completing assignments, taking tests and writing exams. Faith would do anything--literally anything, to get some respite, including taking on the job of tutoring a famously arrogant, former-dropout, self-made billionaire CEO of a tech company for a tidy sum. Devlin has returned to college after five years to get the certificate he desperately needs to close an important business deal. Weighed down by memories of the past, Devlin finds himself struggling to move ahead. Can Faith teach this arrogant CEO something more than Calculus and Algebra? Will he be able to let go of the past and reach for something new?