Linear Independence Linear Algebra

In my past life, my best friend and I married twins at the same time. We shared secrets, complained about our husbands, and teamed up to outsmart our overbearing mother-in-law—it was truly enjoyable. Until the day I nearly died giving birth to twins. As I lay on the brink of death, my best friend cradled my newborns and revealed the cruel truth. “Thank you, Bianca, for giving me such adorable twins. You had no idea, did you? The twins only ever loved me. If I had the ability to give birth, we wouldn't have used you as a tool to have kids. "You’re poor and have never been loved, so it was far too easy to manipulate you. Even the way your husband loved you? It was all my idea—I planned every move he made. “Oh, and every time you two were intimate, I was watching through the cameras—every single time!" When I opened my eyes again, I was back to the day I met my best friend.

Right after my bonding ceremony with Alpha Carlo, his first love, Olivia, died unexpectedly. For fifty years after that, I gave everything I had for Carlo and the Shadowmoon pack. We had five pups, and the pack thrived. But then, on the 50th anniversary of me becoming Luna, Carlo dragged me to the Moonlit Platform. He was going to break our mate bond himself. And after he brutally severed it, he drained all my soul power. He said he was going to use an ancient ritual to bring Olivia back to life. And I, the Luna who’d been by his side for half a century, was the perfect vessel. My desperate cries brought our children running, but they just stood behind Carlo, watching me with cold eyes. “Bringing Aunt Olivia back is the only thing Father has wanted for years,” one said. “If you hadn’t been jealous of Aunt Olivia, if you’d used your healing on her, you wouldn’t be our mother!” another spat. The children I’d poured my heart and soul into raising now just wanted me to die. I felt my soul shatter, my heart ache as if pierced by a knife, and then, nothing. I lost consciousness. When I opened my eyes again, I was back. Back to the day of my bonding ceremony with Carlo. In my last life, Carlo chose me, his Head Healer. Olivia, though, was devoured by a venom-fang spider and died from its poison. Her death had nothing to do with me, but Carlo blamed me for all of it. This time, looking into Carlo's eyes, I saw the deep disgust there, and any hope I had left died. He was back too.

Everyone in the social circle of Kingsford said I was nothing more than a lapdog raised by Charles Mankin. I was always at his beck and call. I did every filthy, ludicrous thing for him under the sun. When he street raced, I rode shotgun. When he drank himself senseless, I made him hangover soup. When he chased girls, I prepared protection for them. Over time, everyone knew: Charles had a dog who never ran, never bit back, no matter how hard he kicked. They all said I must be madly in love with him. Even Charles started to believe it. So he pushed further, more freely, more cruelly, crossing lines as if they never existed. Then came my twenty-fifth birthday. He, in a rare stroke of mercy, said he'd celebrate it with me. But instead, what he got was the news that I was leaving the country. He went berserk, charging through the airport like a man possessed. I peeled his fingers off my wrist one by one, smiling like I'd never been happier. "Don't be stupid," I told him, still smiling. "That was never love." That night, Charles smashed apart his family home like a rabid dog.

While accompanying my husband, Austin Lockhart, to his class reunion, we run into his true love, Leticia Gomez. After the gathering, Austin learns that Leticia's been having a tough time. He corners her against a wall and says, "How much do you still owe? Be with me, and I'll give you a hundred grand a month. Is that enough?" I stand quietly at the street corner, capturing their touching reunion on camera. Then, I send the photos to my lawyer. I also forward them to Austin with a simple message. "Since you two are so in love, why not go ahead and marry her?"

In a car, Matteo Gallagher kisses Evelyn Walsh until she's breathless and entranced. She's been stripped, but he's still fully clothed. The stark contrast makes her blush. Matteo wraps an arm around Evelyn's waist and pulls her close. He chuckles and whispers, "The soundproof divider is up, so the driver can't hear you. He wouldn't dare listen in, anyway. Why are you so shy?" She watches as he intensifies his ministrations on her and throws her arms around him. Love fills her eyes, and she's about to reach her climax. Just then, a phone rings, interrupting them.

At my wedding, the giant screen that's supposed to show our photos suddenly switches to the groom's assistant's prenatal exam report. It clearly shows that he is the child's father. The assistant looks flustered and panicked as she rushes to apologize to me. The groom, on the other hand, stays perfectly calm and offers an explanation like it's no big deal. "I took pity on her because she got pregnant out of wedlock, so I went with her to the appointment and left my name. I'm going to be her kid's godfather, too." The day of her exam was also the day I went for my very first prenatal checkup. Everyone thinks I'll break down, but I simply reach up and tear off my veil. Then, I calmly schedule an abortion. "She really is pitiful, being pregnant without a partner by her side. She deserves this wedding more than I do." Then, I raise my champagne glass to congratulate him. "Congratulations to you both. May your shotgun wedding be a happy one, especially since it's happening with a bun in the oven."

Soon after I came back to the country, someone slapped me right across the face in broad daylight, yelling that I was a mistress. A crowd of reporters closed in, pelting me with questions about whether Chandler Armstrong, CEO of Armstrong Industries, was keeping me as his mistress. I was stunned speechless for a moment, but then I pulled out my wedding photo with Chandler from seven years ago and held it up. "What are you talking about? I'm his wife!" The crowd went silent, and the woman who'd slapped me turned white as a sheet. Only then did I finally get it: while I'd been overseas, Chandler had been openly involved with an actress, and everyone in his social circle had already decided she was the future Mrs. Armstrong. Today, they all came expecting to confront a mistress—only to find out that I was actually his wife. Later, Chandler tried to justify it. "Alina, you've been out of the country for years. I'm a man, and I have needs. She's just a B-list actress; it's not like she threatens your position. Why should you be upset? Just let it go," he said. "Don't make a scene." I handed him the divorce papers. "You make me sick."

I had poured my heart into planning the perfect wedding—for my female client. Then I turned a corner and saw her kissing my boyfriend at the stairwell. He chuckled softly. "No wonder you're my wife. You're stunning." She let out a soft laugh. "Your little secret girlfriend still does not know you're marrying me. She actually wished me happiness—can you believe it? So… when are you planning to tell her?" He tilted her chin and said, "Didn't we agree? Once we're married, we each live our own lives. Teresa is the love of my life. I hope you'll keep your mouth shut." She gave a snort of laughter and yanked playfully on his tie. "Relax, babe. As long as you keep treating me right, I won't stir up trouble." I felt like I had plunged into an ice bath. Face pale, hands trembling, I picked up my phone and texted my mentor: [I'm ready to take the transfer to Luminous City.] The reply came not long after: [Three days from now. We'll go together.]

At the New Year's party, my pineapple juice is swapped for beer. To make things worse, I've just taken cephalexin, which shouldn't be mixed with alcohol. After barely surviving the ordeal, I am shocked to see my husband, Harry Grant, defending Sally Lane, who was responsible for the mix-up. "Can we please just let it go? She didn't do it on purpose," Harry pleads. However, I'm not about to forgive Sally, especially given how sketchy her relationship with my husband has always been. But Harry cuts me off with a scowl, "Enough! She's just graduated and doesn't know any better. "What's the point of holding a grudge? Do you really want to ruin her life to feel better?" he asks, clearly trying to protect her. As I watch him stand by her, my heart sinks. "Fine then, go live with her."

My aunt has one leg amputated after getting into an accident. It's at this time that her beloved daughter chooses to leave the country. From that day onward, I care for my aunt like she's my own mother. We spend 15 years together. She's grateful for my care and promises she'll leave all her money to me after her death. However, my cousin returns to the country when my aunt is on the brink of death. My aunt goes back on her word and gives my cousin everything. She only gives me 50 thousand dollars as compensation for my "caretaking services". I've spent 15 years on her only to get 50 thousand dollars—it's such an insult. I'm so stunned by this that I trip and fall into a river. I drown. When I open my eyes, I've been taken back 15 years in time…