Linear Independence Linear Algebra

My grandfather is a nationally renowned inheritor of an intangible cultural heritage. Today, I'm supposed to attend a grand ceremony as his rightful successor. However, when I arrive, I see my father's adoptive daughter already standing on the stage. She's dressed to the nines. She holds an award and is giving a thank-you speech, looking moved. In the past, I would've left without saying anything or speaking up for myself. Too bad for her that I'd been reborn. The discrepancy between our statuses is so large that we're basically from different worlds. Yet she has the nerve to claim to be my grandfather's successor and put on a show with what is supposed to be my family's.

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.]

The pills I keep by my bedside have been swapped with vitamins. I almost die after getting a heart attack. After the stent surgery, I ask my husband, Evan Whitmore, to find out who did it. I just want the truth. However, he doesn't even look up and just brushes me off. "It was just a mistake. Cecilia probably grabbed the wrong bottle. She bought those vitamins for me. "Don't push this. She has asthma. She can't handle stress." I stare at him in shock, my chest tightening. I can't tell if the pain is from my healing heart or from the words he just threw at me. Cecilia Monroe is his secretary, and he always takes her side. That moment is when I realize that our five years of marriage mean nothing to him at all.

The Sullivan brothers had always treated me like I was their whole world. That changed the day I was diagnosed with an aggressive brain tumor. The pain soon grew unbearable, and I was told I might lose my memories if I opted for surgery. I reached out to the brothers. I did not want to forget them, and I needed their help. However, when the call connected, the only thing I heard was an icy, sharp voice. "Summer, it's Yvonne's birthday today. Can you not ruin it for once?" I blacked out from the pain. When I woke up in the hospital, there was a message from Yvonne on my phone. "Summer, the boys gave me these lucky charms for protection." Attached was a photo of three silver pendants, each engraved with the brothers' initials. I knew those pendants well. I had spent seven hours in the freezing rain just to get them blessed. That was the moment I gave up. I went abroad alone for the surgery, and with it, all my memories of the brothers faded away. I completely forgot about them until one day, three strangers knocked on my door, begging like madmen for my forgiveness.

Aria Morgan is fighting to keep her life together while paying off her mother’s medical debts. When a chance encounter with Ethan Blackwood turns disastrous, she finds herself bound by a contract she never wanted. As his contract mistress, Aria enters a world of power, wealth, and intense desire — a world that challenges her independence at every turn. Ethan is used to controlling everything, but Aria’s defiance ignites a fire he didn’t expect. Their arrangement starts as lust, but soon danger, secrets, and emotional turmoil blur the lines between business and love. Aria must navigate her heart’s desires and her need for independence, while Ethan confronts the walls he’s built around himself. Will the contract protect them — or destroy them both?

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.

It was the day of our marriage. We were supposed to meet up at the City Hall, but my fiancee stood me up. I waited for her the whole day, and the only answer I got was a picture from her assistant. My girlfriend sat astride on his lap, and her arms were wrapped around his neck while they were locked in a deep kiss. "Sorry, Mr. Terraton. Sophie insisted on comforting me. You don't mind, do you?" I demanded answers from my girlfriend, but that only made her impatient. "He donated his blood to me. Yeah, I was with him, but so what? Man up, will you?" That killed any love I had for her, and I called my soon-to-be ex-girlfriend's sister. "Hey, Sylvie. Yeah, about your proposal. So will you marry me?"

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...

After being Nelson Jackson’s devoted simp for five years, Sarah Paterson became pregnant. Just as she was excitedly waiting for him to propose, Nelson had a change of heart when his high school sweetheart returned from studying abroad. Sarah didn't fight to keep the relationship. Instead, she went straight to the hospital, had an abortion, and immediately agreed to the arranged marriage her family had set up with a business partner's son. But Nelson came to regret his decision. He begged Sarah to keep his child, but she only gave him two words in response. "Too late."

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?