Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Given that A = , B = and C = Find the values of x, y, a and b respectively, if A = B+C 3, 5, 2, 6 4, 6, 5, 2 8, 2, 3, 2 4, 4, 6, 4 2. Find the cofactor of a12 in 46 35 73 65 3. If A = 2B where A and B are square matrices of the order 3 x 3 and |B|= 5, what is |A|? 54 50 40 45 4. Determine the order of the matrix(4 5 5 3) 2x4 1x4 3x1 4x1 5. Given that I is a (2x2) unit matrix and Determine the constant k and m such that A² = kA + mI k = 2, m = -5 k = 4, m = 4 k = 4, m = -5 k =-5, m = -4 6. Determine the order of the matrix: 1x2 2x3 2x4 2x2 7. What is the number of all possible matrices of order 2x3 with each entry 0, 1 or 2. 784 756 729 714 8. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin B(-1, 7) (1, -7) (-7, -1) (-7, 1) (1, 7) 9. Iffind f(A) where f(x) = x² - 5x - 2 2 0 1 -1 10. If such that |A| = -15, find + a11C21 + a12C22 in where Cij is cofactors of aij in A= [aij] 1 2 0 -1 11. 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) 12. Find the values of x for whichis equal to zero 2 or 6 -3 or 5 4 or -3/2 4 or 1/2 13. Use product to solve the systems of equations x - y + 2z = 1, 2y - 3z = 1, 3x - 2y + 4z = 2 x = 4, y = 7, z =-4 x = -1, y = -4, z = 5 x = 0, y = 5, z = 3 x = 1, y = 3, z -2 14. Given that A = find A12 5 -2 4 7 15. Two matrices P and Q are given by P = (x, y), Q =where x ≠ 0, y ≠ 0.Given that PQ =λP, where λ is a scalar, obtain the roots of the equation inλ² -6λ + 5 = 0 1 or 5 2 or 7 1 or -5 -3 or 5 16. Evaluate the determinant of 12 14 8 17 17. Area of a triangle with vertices (k, 0), (1, 1), and (0, 3) is 5 unit. Find the value (s) of k 20/3 3/10 20/7 10/3 18. Evaluate the determinant 1 2 -1 | 2 3 -1 | -1 1 3 -2 -5 5 2 19. Find the value of x such that 1 or -2 3 or -17 -2 or -14 10 or 20 20. Given thatFind the values of x for which |A| is zero. 2, 3(twice) 4, -2(twice) -4, 4 -2, 3 21. Given thatEvaluate |A| x³ - 24 x³ - 12x - 16 x³ + 24 x³ + 12x + 12 22. find x and y, respectively 2, 7 2, 8 2, 9 6, 9 23. If find AB [32] [12] [45] [26] 24. Determine the order of the matrix: 2x2 2x3 1x1 1x2 25. If, find x and y respectively, such that A² -xA + yI = 0 where I is a 2x2 identity matrix 44, 56 9, 14 9, 12 12, 17 1 out of 25 Time is Up! Time's up