Linear Independence Linear Algebra

"Miss Summers, sigurado ka bang gusto mong burahin ang lahat ng iyong identity records? Kapag nabura 'to, parang hindi ka na nag-exist, at walang makakahanap sa iyo." Nagpahinga si Adele nang sandali bago tumango nang mariin. "Oo, 'yon ang gusto ko. Ayoko nang hanapin ako ng sinuman." May bahagyang pagkagulat sa kabilang linya, ngunit agad silang sumagot, "Naiintindihan ko, Miss Summers. Ang proseso ay tatagal ng mga dalawang linggo. Mangyaring maghintay nang may pasensya."

It's the final round of this year's Pack Pup Tournament. I can't take my eyes off my pup, Patrick Grant, as he wins the title. When the host calls Patrick's parents onstage to celebrate, I leap up, thrilled. But then I see Nicholas Grant, my Alpha mate, walk up with his secretary, Natalia Lawson. They stand side by side under the spotlight, kissing Patrick on both cheeks. It's as if Natalia is the mother, as if she's the Luna of our pack, as if they're the perfect family. I can only stand there in the audience, feeling the weight of countless startled stares, too ashamed to lift my head. Later, Nicholas brushes the incident off. "You were seated farther back. It was easier to bring Natalia up on stage," he explains. Easier? I swallow the humiliation and force myself to believe it was just an unfortunate coincidence—until today, that is. I sense through our blood bond that something's wrong with Patrick, so I drop everything and race to the pack hospital. But when I arrive, Patrick is lying in Natalia's lap, whining to her in a soft voice. I step forward to introduce myself, but the healer only looks surprised. "The emergency contact form lists Natalia as his mom, though." It turns out Patrick himself had stripped me of my role as his mother. And Nicholas didn't stop him. I finally understand. I don't belong in this family anymore. That night, I tell Nicholas I want to dissolve the mate bond between us. He doesn't even look up as he says, "Don't be dramatic. You'd dissolve our bond over a single name on a form?" "Yes."

At the very beginning, he had said to her, "Wanwan, I shall fill your days with joy and happiness." Later on, he had said, "Ye Wanwan, why don't you go to hell?" As she stood upon the edge of a cliff and looked down into the abyss below, a serene expression settled on her face as she whispered helplessly, "It seems that after everything we've been through, we won't be growing old together after all, my dear Qing." At the moment of her death, however, he felt a twinge of pain in his heart. To whom would his love belong henceforth?

I knew Adeline Shaw had been entangled with her childhood sweetheart for over a decade, but I still dove headfirst into our relationship without hesitation. Then came our engagement day. Adeline got a call that her childhood sweetheart had collapsed and was in the hospital. Without a second thought, she dropped everything - dropped me - and rushed to his side. My grandmother, who witnessed this whole scene, hurried after her. In her rush, she was struck by a car. By the time they got her to the hospital, it was too late. We couldn't save her. That's when I finally let go. She was never truly mine, and I shouldn't have tried to force what wasn't meant to be.

On my wedding day, Levi Robbins' "close friend" Gina Fields suddenly fainted. Without hesitation, he dropped everything and rushed to the hospital, leaving me at the altar. My mother, witnessing this humiliating scene from her seat, suffered a heart attack. Yet, none of the guests bothered to help as they were too busy gossiping and laughing at my misfortune. By the time I managed to get her to the hospital, we had missed the critical window for treatment. Just then, Levi finally called, his voice urgent and demanding. "Caitlyn, where are you? Gina's condition is critical, and she needs your bone marrow!" "Levi, we're done," I said firmly, hanging up and walking away. This time, I would not look back.

Maude Ellington's fiance sends a message to his first love before their wedding. "You've always been the one I wanted to marry." With their wedding fast approaching, Maude watches him meticulously plan every detail with his first love in mind. She quietly lets it all go. Because she no longer wants the wedding. And she no longer wants him.

At the dinner table, my wife's best friend suddenly speaks to her in Lytian. "Three years ago, you married Julian in a grand wedding just to help Jace get Julian's letter of forgiveness. Over the years, I've seen Julian fall more and more deeply in love with you. Yet, you're still lying to him. "You gave him sterilization pills but passed them off as his depression medication. Aren't you afraid that he'll fall apart if he finds out the truth?" My wife, Erica Inman, briefly shows a conflicted expression on her face. She then gives a bitter smile and says, "A child unwanted by their mother has no reason to be born. As long as Julian doesn't stand in the way of Jace's happiness, I will keep my promise and stay by his side for the rest of his life." No one knows that I've learned Lytian to keep up with Erica. I stand in the living room and look at the fresh kiss mark on my neck. As I glance at the medication I take regularly for my depression, my whole body turns cold. It turns out that all of Erica's affection toward me was fake. What I thought was my salvation turns out to be nothing but a carefully planned deception. Since that's the case, I'll do my part to make sure they all get what they want.

I was born with a rare condition. My blood carried healing properties strong enough to neutralize any poison. When Garrett Frank, the young heir from Osbury, was bitten by a venomous snake, he was hanging by a thread. In that desperate moment, I slit my wrist and used my blood to cleanse the venom from his body. Only later did I find out that whoever saved Garrett's life would become the future Mrs. Frank. But after Garrett took over the family business, the first thing he did was drain every drop of blood from my body and have me chopped up and fed to his dogs. "At that time, Loretta had already brought the antidote," he had said coldly. "If you had just waited another five minutes, I could've married her openly and honorably. "But you had to interfere. You stole her place as Mrs. Frank, drove her into despair, and pushed her to take her own life. Since you claim your blood can cure any poison, let's see how much antidote it can make." They bled me dry and threw me into a cage for his dogs. I died there, torn apart and unrecognizable. Afterward, my parents went bankrupt because of the Franks. Both of them took poison and died together. When I opened my eyes again, I was back on the very day Garrett had been bitten by the snake. Michelle Frank, Garrett's mother, looked at me with desperate hope. "I heard you have that rare healing blood," she said. "Will you please save my son?" I quickly shook my head. "That's just a rumor, Mrs. Frank. And honestly, using blood as medicine sounds pretty unsanitary. Please don't worry. I heard Ms. Huber is on her way with a special antidote. Your son will be fine!" Still, a small part of me couldn't help looking forward to what would happen. If I didn't step in this time, Garrett wouldn't just fail to inherit the family business—he'd be lucky to live another month!

Seven days before our wedding, Danny Wagner—my childhood sweetheart—got down on one knee for Mia Kant, the broke girl he'd been sponsoring. Right in front of me and his buddies. I didn't cry. Didn't lose it. Just slapped a smile on my face and said, "Wishing you two a lifetime of happiness." His buddies? Oh, they had the nerve to tell me to be generous and let Danny help Mia finish her "wish list." Danny, unsatisfied and ticked off, said I was overreacting and demanded an apology. Dismissive, he sneered, "I said I'd marry you after Mia's wish list was done. Stop being so unreasonable." I knew this was the last item on her list. I opened my notes app, scrolled to my wish list, and deleted all thirty-three bullet points. Done. Then I made a call. "I'm willing to marry you."

Yvette Skye has been diagnosed with depression. She thinks her parents will understand her situation, but all she gets is boundless mockery and doubt. After her affair with her sister’s boyfriend is found out, she dies in an accident. After her death, her biased parents suddenly start to regret their actions.