Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. If A = 2B where A and B are square matrices of the order 3 x 3 and |B|= 5, what is |A|?455040542. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin C(-5, 3)(3, 5)(4, 3)(-3, 4)(-3, -5)3. What is the number of all possible matrices of order 2x3 with each entry 0, 1 or 2.7297567147844. Ifis a symmetric matrix, find x34255. Given that If |kI -A| = 0, deduce the values of μ and λ, respectively such that A²=μA + λI.2,51,25,103,56. Given that D =find D21-23577. The image of the point P under a translation by the vectoris (-2, -1). Find the coordinates of P.(-2,4)(3,5)(4,7)(7, -4)8. The sum of three numbers is 2. If we subtract the second number from twice the first number, we get 3. By adding double the second number and third number we get 0. Represent it algebraically and find the numbers using matrix methodx = 1, y = 1, z = 1x = 1, y = -2, z = 2x = 8, y = 1/4, z = 5x = 0, y = 1, z = -29. Given that C =find C2242-2710. Determine the order of the matrix:1x22x22x31x111. Find the area of the triangle with vertices (0, 0), (6, 0) and (4, 3)10 sq. units8 sq. units9 sq. units7 sq. units12. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin A(3, 2)(1, 3)(3, 2)(-2, 3)(-3, 2)13. Find the value of a² - b² - c² - d²b² + c² + d²c² + d²a² + b² + c² + d²14. Using matrix method, solve the following system of linear equations :2x - y = 4, 2y + z = 5, z + 2x = 7.x = 1, y = 1/3, z = 1/3x = -1, y = 3, z = 2x = -2, y = 1/2, z = 3x = 3, y = 2, z = 115. Evaluate the determinant 10-14141216. Given that A =find A32-224717. Find the slope of the line segment which is the image of the line joining the points A(1, 3) and B(4, 2), if the matrix of transformation is 1/821/71/918. What is the image of the point (0, 0) under the transformation matrix (-1, 1)( -1, 0)(0, 1)(0, 0)19. Given that find the value of x that satisfiesx + y -2z = 1, x+z = -1 and 2x -2y + z = 12-10120. For what value of k, the matrix has no inverse1/23/22/33/421. Let A be a non singular square matrix of order 3x3 find |adj A| if |A|= 102910099922. For what value of x the matrix is a skew symmetric matrix-55-1123. What type of transformation is shown by the matrix ?reflectionenlargementtranslationrotation24. The matrices of the linear transformations A and B are given as A = -1 4 B = 2 -5 0 3, 1 -3Calculate the image of the point (2, -3) under the transformation B followed by A(-25, 33)(-7, 5)(33, 25)(5, 7)25. Given thatFind the values of x for which |A| is zero.-4, 4-2, 34, -2(twice)2, 3(twice)26 out of 25Time is Up!