Linear Independence Linear Algebra

I died the night before my wedding to Christopher. But on the wedding day, a giant screen showed photos of me in bed with another man. In a fit of rage, Christopher smashed the screen and got engaged to my sister, Elizabeth. When my father informed him of my disappearance, Christopher sneered. “Disappeared? With the disgusting things she has done, she’s probably too ashamed to show her face!” My brother joined in with a scornful yell. “She hurt Liz, and now she has done such shameless things. I refuse to acknowledge such a wicked sister!” The shock and anger led to a fatal stroke, and my father died right there. Since then, I was despised by everyone in Cloud City. What they did not know was that it was the seemingly gentle Elizabeth who had brutally stabbed me to death and dumped my body in the river. Two months later, a fisherman found my body washed ashore.

Elizabeth Bell, acting Luna of the Moon Tides pack, is shocked to find herself at the mercy of their near neighbour, Alpha Byron, a TV celebrity who leads the shifters from Wild Horses. And all because her brother, Richard, whose gambling is out of control owes him a huge debt. When he sends some of his men to fetch her to his home on the edge of the desert she doesn't rebel, thinking of her pack members and the promise she made to her late parents to always put them first. Spending time with the rich Alpha is an eye-opener in more ways than one, the mate bond unlooked for and surprising because of the nature of her wolf. Byron swears her to secrecy, informing her she may be in danger. Alphas have been going missing all over the territory, including his sister's husband and, possibly now, her brother. A Lycan appears to be the mastermind behind it and, when Alpha Byron is abducted, Liz must do everything she can to stop the destruction of werewolf society, even if this means pretending she is in love with him. Will their relationship survive her sacrifice? And could this be the end of independence for the packs?

Married to Jasper Brook for six years, I found out that he was keeping a mistress under his wing. She was stunning but timid, shrinking back at the slightest raised voice. Because of this, Jasper never lost his temper around her. He indulged her fragility and treated her preciously. However, the mistress wasn’t as obedient as she appeared. When she stirred up trouble with me, Jasper’s patience snapped, and he unleashed his fury on her. The next day, she sent me a photo of her neck covered in hickeys. “Selena, Mr. Brook is so scary. I’m terrified.”

Yvonne Chapman risks her life to save Marcus Cunningham. She loses her hearing in the process and ends up being mocked and insulted by his friends. Later, she runs the risk of becoming brain-dead when she insists on undergoing surgery—she wants to regain her hearing. The surgery is successful. She plans to share her joy with Marcus. However, he calls his first love's name when they're in bed together. It turns out he's never forgotten her. Yvonne's love for him dies. She realizes there are more things in life for her. She goes abroad, leaving everything behind, including Marcus.

Playboy alpha-to-be Logan lives a fast life much to the chagrin of his Luna mother. Logan gets into a fight with his mother and storms off angrily to cool off. Little does he know that fate is about to throw him a curve ball. Elise, cast out by her pack after losing her parents has learned to survive on her own. Now a formidable rogue, she roams the lands trying to survive. She travels with her partner who feels and unrequited love for her. Elise loves her independence and cannot fathom the idea of having a mate. She goes on a supply run where, unbeknownst to her, her destiny lays in wait.

When Keenan's and nivea's world's meet what will they do? will they end up as mates? or will her independence drive him away?

Five years of marriage, and I was finally pregnant. I couldn't wait to tell Neil—until I heard his mom say: "When are you going to tell Angela? Cece's already showing. This family needs an heir." "Just give me a little more time. I'll handle it." I froze in the doorway, the ultrasound report burning in my pocket. Neil Schmidt, your promises mean nothing.

Whispers of Redemption is an enchanting tale that weaves together the threads of loneliness, tragedy, and spiritual awakening. Set in an era marked by challenges and limitations, the story revolves around Rita, a strong-willed and resilient young woman who rises above her tragic past to embrace a life of purpose and divine connection. Chapter by chapter, readers delve into the depths of Rita's solitary existence, feeling her ache for companionship and love. Through her unwavering determination, she seeks solace in the embrace of nature, finding comfort in the whispers of the wind and the gentle rustling of leaves. One fateful day, Rita's life takes an unexpected turn as Lumina, a mystical entity, responds to her heartfelt wish for a true companion. Lumina, a manifestation of divine grace, introduces Rita to a spiritual journey that transcends her earthly existence. Guided by Lumina, Rita discovers a profound love and connection with God, igniting a fire within her that empowers her to face the challenges of her era head-on. As Rita's spiritual awakening unfolds, she finds herself not only falling in love with God but also becoming a beacon of hope and strength for those around her. Her unwavering faith and fearless nature inspire a community that once turned a blind eye to her loneliness. She becomes a force to be reckoned with, embodying the spirit of independence and fearlessness that defines her era.

Ara once thought Logan was her perfect lover. He was everything she dreamed of—charming, sophisticated, and with a deep love for art that matched her own. Together, they shared long conversations about paintings, literature, and life, and Logan seemed to understand her in ways no one else ever had. For a while, she truly believed he was the perfect man, the one she was meant to be with forever. But when she discovered the truth, she realized he’d only been using her to get closer to the woman he truly wanted. Heartbroken and betrayed, Ara walked away in the pouring rain, her heart shattered but her resolve stronger than ever. She would never let him back in. Three years later, Logan resurfaces—not through a business deal with her company, but through an unexpected acquisition of one of its key partners. Determined to win Ara back, Logan is no longer the man she once knew. He’s cold, relentless, and will stop at nothing to force her back into his world. “You can’t escape me, Ara. This time, I’ll make you stay.” But Ara is no longer the same woman she was. Her fierce independence and stubborn heart refuse to let Logan back in, no matter how hard he pushes. As their past resurfaces, secrets about Logan’s possible connection to her father’s death threaten to unravel everything.

At six in the evening, Allen Bennett prepared a perfect dinner, with each dish carefully chosen to match Sarah Foster's preferences. By seven, he had run her bath, adding lavender essential oils and rose petals to the warm water, filling the bathroom with a calming fragrance. By eight, he placed her comfortable slippers by the entrance, awaiting her return. At nine, the front door finally opened. Sarah walked in, and Allen immediately went to greet her. With practiced grace, he helped her out of her coat and placed her slippers before her feet, then hung the coat in the entryway closet. Turning to her with a gentle smile, he asked, "Would you prefer to have your bath first or would you like to eat?"