Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Under a reflection (2, -1) → (6, -1). What is the mirror line?32412. Which one of the following is NOT a coordinate of the unit square?(0, 1)(-1, -1)(1, 0)(1, 1)3. Find the value of a23 + a32 in the matrix A = [aij]3x3where aij = 101213114. Given that A = , B = and C = Find the values of x, y, a and b respectively, if A = B+C4, 6, 5, 23, 5, 2, 64, 4, 6, 48, 2, 3, 25. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin C(-5, 3)(-3, 4)(4, 3)(-3, -5)(3, 5)6. Given thatfind|A|54267. Determine the order of the matrix(4 5 5 3)3x12x41x44x18. Solve the following equations: 3x + 4y + 2z = 4 x - 5y + 3z = -1 2x + 3y + z = 3x = 5, y = 6, z = -3x = 8, y= 5, z = 4x = 0, y = 6, z = 4x = 2, y 0, z = 19. Find the area of the triangle with vertices (0, 0), (6, 0) and (4, 3)7 sq. units9 sq. units8 sq. units10 sq. units10. 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 1/821/71/911. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin B(-1, 7)(-7, 1)(-7, -1)(1, 7)(1, -7)12. Solve the equations: x + 2y - z = 4 2x + 3y - z = 2 -x + y + 3z = -1x = 6, y = 2, z = -15x = 2, y = -3, z = 8x = -5, y = 6, z = 10x = 3, y = -4, z = 913. A is the point (-2, 3) and B is the point (-3, -2). Under what mapping is B the image of A?Rotation through +90 degrees about the originRotation about the +180 degrees about the originRotation about the +30 degrees about the originRotation about the +45 degrees about the origin14. Given thatEvaluate |A|x³ + 12x + 12x³ + 24x³ - 12x - 16x³ - 2415. Determine the order of the matrix2x33x23x31x316. For what value of x the matrix is a skew symmetric matrix1-55-117. P(4, -6) is a point in a plane. Calculate the coordinates of the image of P under:an anticlockwise rotation about the origin through 90°.(2, -3)(6, 4)(7, 4)(3, 2)18. P = and Q = If PQ =Find (a, b)(1, 2)(4, 7)(2, 3)(1/2, 1/3)19. Given thatFind the values of x for which |A| is zero.4, -2(twice)-4, 4-2, 32, 3(twice)20. 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(5, 7)(-25, 33)(-7, 5)(33, 25)21. Determine the order of the matrix:1x12x31x22x222. Evaluate the determinant 210-223. Given that D =find D21-235724. If A is a square matrix of order 3 such that |adj A| = 8, find |A|9-8991925. Given that I is a (2x2) unit matrix and If BA = I, where B is a (2x2) matrix, deduce that B maybe expressed in the form αA + λI, stating the values of the constants α and λ, respectively.- 1/5 and 4/51 and 1/5-1 and 4/51/5 and 2/526 out of 25Time is Up!
