Projection In Linear Algebra

"Shards in Eternity" is a story of passionate and profound love that transcends familial and friendship bonds. At the core of this emotional saga is an intense relationship between two individuals, a love that manifests in various aspects of their lives, be it as partners, family members, or friends. As their love reaches its peak, an unexpected tragedy strikes, jeopardizing the foundations of these relationships. Life confronts them with an unimaginable tragedy as one of the key figures in this deep love faces an inevitable death. This narrative explores how love can flourish in the darkest moments and how the bonds that unite these characters prove stronger than ever in the face of adversity. "Shards in Eternity" is an emotional journey that examines the resilience of love and how it can illuminate even the darkest moments of our lives.

Constant head splitting headaches, random joint pains,. dizziness and lightheadedness. it was symptoms I know just too well. The blue rose illness. The vile disease that robbed me of my mother. And now I think it's coming for my life too. My name is Ivy and I have the blue rose illness. Funny right? I can't believe I have less than thirty days to live. ************ Prince Emiliano "You are sick? Since when?" "I am sorry." "Keep that for later—I will never give you the permission to leave me. You can never leave me. Do you understand Ivy? Don't you dare."

Adam King was the live-in-son-law of the Williams,one of the wealthy family in Lagos.He was despised by everyone that came across him.He was treated like trash until he realized his true identity.

Eleanor always wanted a fresh start. She was raised in the mafia and was constantly exposed to guns, death, and blood. On the night she is kidnapped by an infamous Don, she manages to escape. But instead of going back to her old life, she decides to start a new one. She runs into the city of Rome and her true passion and love for food are sparked. When she meets Dante Santa Cruz, she no longer believes that anything can return her to the world she fled. But how could she forget that she was the daughter of the mad queen?

⚠️warning⚠️ this book contains mature content and abuse. This Is the first warning and will not be the last. Andrei Volkov is the head of the Russian Mafia. He's ruthless, dangerous, rich and has every woman on their knees begging for him to take them. He's never loved anyone, since his past has left him unable to do so.Skylar Jones; homeless and without any family. She's the kindest and the most selfless person you will ever meet even without money. One day, Skylar meets two men that work for the Russian Mafia. They offer her job that she has a tough time refusing even with the strings attached.What will poor innocent Skylar do when she meets the Andrei? Will she fall madly in love like the rest or simply think him as another man?WARNING: THIS STORY MAY CONTAIN TRIGGER STUFF TO SOME PEOPLE. IF YOU ARE EASILY UPSET BY THE THOUGHT OF RAPE OR ABUSE, DO NOT READ THIS BOOK.

Due to his traumatic past, Adam Carter is a successful billionaire with a dark and cold personality. Unlike other billionaire bachelors, Adam takes no interest in relationships or casual flings. That, however, changes when he lays eyes on Daphnie Hanson, a recent college graduate who is cautious when it comes to romance. Love is never an easy road. When Adam's past comes to haunt him and ends up dragging the pair into a lifestyle they never imagined, can the two survive the danger and heartache that comes with it?

Judy’s fated mate rejected her to marry the Lycan Chairman - Gavin’s daughter. As if that wasn’t bad enough, he ruined her family and tried to make her his secret mistress! Judy’s response? “I’d rather sleep with your father-in-law than ever be with you!” Gavin is known for his power, wealth, and being the ultimate playboy who never sleeps with the same woman twice. But Judy’s about to break all his rules… again and again.

I die in the basement after being burned by acid. My family doesn't recognize me, and they don't call the cops. My mother picks up the scalpel that hasn't been used in years and debones me. My father excitedly mixes my skeleton with concrete and turns me into an exquisite statue. My sister uses the sculpture she's made out of my flesh and portrays herself as a genius sculptor whom everyone admires. Later, the sculpture is shattered, revealing half a broken finger inside. That's when everyone panics.

Elena Hart once had everything, money, beauty, and a kind heart that trusted too easily. But her perfect marriage to the charming Liam Blackwood ended in betrayal and even murder, planned by him and her best friend, Serena Cole. Her whole world fell apart. Yet death wasn't the end for her. One day, Elena woke up in her 22 year old body, seven years before the day she was meant to die. Her memories were broken, but she was filled with a strong will: this time, she would write her own ending. Reborn, Elena was no helpless princess. With the knowledge of what was to come and a clever, quick mind, she stepped into a world of secret business deals, hidden family stories, and a love triangle that made her quest for revenge even more complicated. There was Adrian Voss, the mysterious rival CEO whose cold look hid a past linked to hers, and Noah Grant, her childhood friend whose quiet loyalty showed deep, unspoken love. As Elena fought against Liam and Serena's evil plans, she uncovered even darker secrets, Hart Industries was really a front for a criminal empire, her mother's death was no accident, and maybe her second chance at life was part of a strange, bigger bargain. With every twist and turn, Elena had to choose between seeking revenge or forgiving, between following love or standing on her own. But in a game where enemies wear smiles and allies hide daggers, trust could be her downfall... or her redemption.

A growl escaped his throat as my robe fell and pooled at my feet. I was completely naked. I saw his eyes dilating. He wanted me. That was all that mattered. A seductive smile curled on my lips, hiding the nervousness I felt. "I'm all yours, Alpha..." "Get dressed! And get out!" His breathing hitched as his gaze swept all over my naked form. I walked towards him, biting my lower lip as I reached for his shirt, unbuttoning it while ignoring his anger. He would have pushed me away if he didn't want this, but instead, he moved swiftly and pinned me against the wall. "Is this what you want?" His said hoarsely. His breath brushed against my neck, sending pleasurable tingles between my thighs as he pressed his front against mine. I stared back at him, letting my eyes show the emotions I had kept hidden all these years. "I want you, Caspian." ***** In a world where Alpha Females are pawns for the Claiming, being an Omega Female is considered a blessing. Andrea was born and raised as an Omega. She had the freedom to choose whether to be claimed by her mate or be someone's chosen. And so she thought, until the reality of her past came hunting her.  Alpha Caspian knew from the very beginning that he wanted Andrea, whether they were fated mates or not. But by the time he was ready to make amends for sending her away when she was 15, a secret from her past had resurfaced.  Would he let her go this time? Or was she worth fighting for? ***** A spin-off novel from the Black Shadow Pack Series. While the story is stand-alone, I recommend that you read the Black Shadow Pack Series to gain a better understanding of the characters.