Linear Independence Linear Algebra

On the eve of our mating ceremony, Asher, my Alpha-to-be, slung his arm around his childhood sweetheart, Selena. “If I had never been with such a hot Selena,” he said, “I think I would regret it for the rest of my life.” "Ella, grant us one night. After tonight, I will be forever faithful to you. You'll be Silver Pine Pack's irreplaceable Luna." I stared at him for a moment, seeing he was serious, and nodded my agreement. He swept Selena into his arms and walked into the forest. As he passed by me, he smirked. "Tonight, Ella, you're free to find another wolf too. I won't mind." "No need to look far," I replied evenly, turning toward the figure waiting in the shadows. Lucas, Alpha of the Black Stone Pack, our rivals... and my first love who ended before it truly began. "Alpha Lucas," I whispered, meeting his intense gaze. "Tonight, make me yours... please."

My childhood sweetheart who promised to marry me the moment I graduated proposed to Camille Willow, my sister, during my graduation ceremony. At that moment, Dennis Malcolm, the most eligible and admired bachelor in Blington City's elite circle, stepped forward and confessed his love for me immediately after my childhood sweetheart's proposal was accepted. For five years after our marriage, Dennis showered me with devotion, treating me with such tenderness that it felt as though I were the center of his world. But everything shattered the day I overheard a conversation between him and his close friend. "Dennis, now that Camille's on top, are you really going to keep pretending with Tracy?" "It doesn't matter. I'll never have Camille. Besides, as long as I'm here, she'll never disrupt Camille's happiness," he answered. The paper notes he held dear, each one carefully preserved, revealed a harsh truth. Each one carried her name, accompanied by heartfelt wishes: "May Camille be released from her burdens. May she find peace within herself." "May Camille achieve all she dreams of, and may her heart love freely." "Camille, we were never meant to be together in this life. I can only hope that in another, we will walk side by side." … Five years of devotion shattered in a single moment of clarity. I crafted a false identity and planned an elaborate drowning to vanish without a trace. From this day forward, in this life and all others, we shall never cross paths again.

Leo inherits his late brother's position as Alpha after seven years of dating me. He also inherits his brother's wife and the pack's former Luna, Jasmin. Each time he sleeps with her, he comforts me gently. "You're my only mate, Mia. Once Jasmin gets pregnant and gives birth to Blazetooth Pack's heir, I'll hold the marking ceremony with you." He tells me that's the only condition his family asked of him before allowing him to inherit the position of Alpha. Over the six months after returning to Blazetooth Pack, he sleeps with Jasmin a hundred times. He starts with only spending one night a month with her to sleeping with her every night. Jasmin was finally found pregnant on the 100th night of my staying up the whole night waiting for him. At the same time, I receive news of her and Leo holding the marking ceremony. Upon hearing this, my son asks in confusion, "Didn't they say Dad is having the marking ceremony with the Luna he loves? Why isn't he here to take us home yet?" "Because I'm not the Luna he loves." I caress his head. "That's okay, though. I'll take you back to a place that we can really call home." What Leo doesn't know is that I'm the only daughter of the Alpha King. I've never cared about being Blazetooth Pack's Luna.

After being reborn, I decided to write my sister's name on the marriage application. This time, I would help Sebastian Holt achieve his wishes. In this lifetime, I took the lead—I let my sister wear the wedding dress first and put the engagement ring on her finger. I personally orchestrated every encounter between Sebastian and my sister. When he took her to the capital city, I headed to Southport University without a second thought. In my previous life, even when I was over 50 years old, he and our son still knelt before me, begging for a divorce. This time, I would fulfill his final romantic destiny with my sister. Living this second life, all I wanted was to spread my wings and soar high, free from love's entanglements.

He is a beast of the darkness, a lover of divine violence and righteous wrath. She is a notorious thief, an embodiment of independence and free will. When their paths cross a battle of freedom ensues for at his feet He will make her kneel and in his bed He will have her submit until she is the strongest of the strong, the wildest of the wild, the wolf leading the wolves. But at what cost?

My husband, Samuel Crawford, made an excuse about attending a company business meeting and refused to participate in our daughter's school activity. He also suggested that we should not participate either. Seeing my daughter's disappointment, I decided to take her myself. As soon as we entered the school, I spotted Samuel sitting on the stage with his ex-girlfriend, Monica Sterling, and her son. They looked intimate, appearing every bit like a perfect family of three. Samuel spoke confidently into the microphone about achieving family harmony and career success. Throughout his speech, he occasionally exchanged glances and smiles with Monica. The audience applauded enthusiastically. Samuel's expression grew increasingly smug, and even the little boy beside him wore an arrogant look. Soon the Q&A session came. I then grabbed the microphone and asked, "Mr. Crawford, when did you have a son? Does your wife know about this?"

When my dad died, my husband was at the airport—picking up another girl. She looked like me. Only difference? He actually loved her. I was just the stand-in. Three years of marriage? It cost me my dad... and every last shred of self-respect. But at least I finally saw him for who he was. I left the country in a soaked dress. That's when it hit him—what it really meant to lose. "Emily, I was wrong!" "Daniel Wilson, it's too late." Stand-ins don't get love. They get a new beginning.

Grandpa died, and we immediately went for each other's throats over the inheritance. Then a blizzard hit, trapping us all in the family estate. An app appeared on our phones: [THE LAST ZOMBIE: FINAL RECKONING]. We had to pick a hiding spot. The last one standing—the last human standing—would inherit everything. I chose the dark, silent recording studio in the basement. Away from them all. When it was time to pick special powers, my family chose powerful weapons or pocket dimensions full of supplies. I chose Bio-Stasis. It slowed my cells to a crawl, and my body along with them. My stepbrother's fiancée, Chloe, called me an idiot. "Hiding from your family and picking a useless power? You're on a suicide mission." They threw a zombie-slaying party upstairs, already celebrating an inheritance they hadn't even won. Until, one by one, they turned. And started tearing each other apart. What they didn't know... was that I'd rigged the game from the start. The only way to win was to stay completely silent.

On my wedding day, I jumped from the 38th floor of the hotel. It all started when I got together with my first love, Colin Frey. My best friend, Alice Manning, came to me and said she had bound herself to some kind of love system. She claimed that every guy I dated would fall for her and dump me. I thought she was just messing around and did not believe her. However, just a few days later, Colin came to me and confessed that he wanted to break up because he had fallen in love with Alice. After that, I got smart about it. I stopped telling anyone about my relationships and did not even post anything on social media. Yet, somehow Alice always knew. It was as if she had installed some kind of tracking device on me. No matter who I dated, she would find out. Then, within days, they would all fall head over heels for her and leave me behind. I was completely heartbroken, so I moved back to my hometown to get as far away from Alice as possible. Through my parents' arrangement, I was set to marry a guy through a blind date setup. Yet, on the actual wedding day, he stood up in front of everyone and confessed his love to Alice, saying he wanted to marry her instead. My parents, who were sitting in the audience, were so furious and devastated that they collapsed on the spot. They were rushed to the hospital, but it was too late. They were gone. Meanwhile, Alice was wearing the ring that was supposed to be mine, looking absolutely smug as she boasted, "A man this amazing? As if you deserve him. Now he's mine, so why don't you just step aside like a good girl?" I could not take the blow, so I climbed to the hotel rooftop and leapt off without hesitation. When I opened my eyes again, I was back at the very moment before Alice had ever mentioned that so-called system.

In New York’s Upper East Side, there were two heirs. One was a speed-obsessed daredevil dominating the racetracks, the other was a brilliant actuary who controlled the flow of capital. Born into powerful families and polar opposites in temperament, yet they grew up side by side as each other’s only best friend. They had fought over girls and bickered endlessly over racing bets. However, at fifteen, there was one thing they did in perfect unison. They each put on the same roughly carved bronze badge. They were trinkets Mia had idly made during a craft class, marked only by a faint “M” scratched on the back. Back then, Mia was seated in the last row of the classroom. Her background was a complete mystery to everyone. Yet they wore that badge for ten whole years. Whether standing on the F1 podium or locking in billion-dollar trades at the exchange, the cheap little badge on their chests never changed. Until Ella showed up. She was the cherished daughter of a rising conglomerate family. She hand-stitched two gold-thread fabric patches and gifted them to them. The patches looked so ordinary they looked like the kind of trinket you would find three for a dollar at a flea market. And yet, they both replaced their bronze badges with her plain patches. Mia did not say anything. She simply folded away an old newspaper clipping with a photo of the three of them smiling together. That night, she called her father in Sicily. Her voice was emotionless. “Papa, I accept the marriage arrangement.”