28/03/2020 Matrices and Transformation(Senior Class Maths Study by Topics) 28/03/2020 0Comments by Gate Academy Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Solve for the determinant of -2 0 1 -1 2. Evaluate the determinant 1 2 -1 | 2 3 -1 | -1 1 3 2 -5 5 -2 3. Evaluate the determinant 12 10 -14 14 4. Evaluate the determinant of 17 8 14 12 5. P = and Q = If PQ =Find (a, b) (1/2, 1/3) (1, 2) (4, 7) (2, 3) 6. If A is a square matrix of order 3 such that |adj A| = 8, find |A| -8 99 9 19 7. find x and y, respectively 2, 7 2, 9 6, 9 2, 8 8. The matrices A and B are given by: A =and B =where a ≠ 0, b ≠ 0If BA =kA, where k is a scalar, Find another equation satisfied by a and b 2a + (1 - k)b = 0 a + 3b = 0 2a + 5b = 3 3a + kb =1 9. 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 (33, 25) (5, 7) (-7, 5) (-25, 33) 10. Find the value of x such that the points (0, 2), (1, x), and (3, 1) are collinear 3/5 2/5 5/3 5/2 11. P(4, -6) is a point in a plane. Calculate the coordinates of the image of P under :a reflection in the line y = x. (2, 2) (-6, 4) (2, -3) (3, 8) 12. If find AB [45] [26] [32] [12] 13. Find the value of P, such that the matrix is singular -9 -8 8 7 14. P(4, -6) is a point in a plane. Calculate the coordinates of the image of P under:a translation by the vector (-5, 4) (-1, -2) (-2,-2) (2,3) (2,2) 15. Determine the order of the matrix 2x4 3x3 3x4 1x2 16. Given that B , find B31 7 -2 2 4 17. Solve the equations: x + 2y - z = 4 2x + 3y - z = 2 -x + y + 3z = -1 x = 2, y = -3, z = 8 x = -5, y = 6, z = 10 x = 6, y = 2, z = -15 x = 3, y = -4, z = 9 18. Given thatEvaluate |A| x³ + 12x + 12 x³ - 24 x³ + 24 x³ - 12x - 16 19. Given that A =find A33 5 7 4 -2 20. For what value of k, the matrix has no inverse 3/4 3/2 2/3 1/2 21. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin A(3, 2) (3, 2) (1, 3) (-3, 2) (-2, 3) 22. Solve the following equations: 3x + 4y + 2z = 4 x - 5y + 3z = -1 2x + 3y + z = 3 x = 5, y = 6, z = -3 x = 0, y = 6, z = 4 x = 2, y 0, z = 1 x = 8, y= 5, z = 4 23. Given a square matrix A of order 3x3 such that |A| = 12 find the value of |A adj A | 1728 1632 2753 1233 24. Given thatFind the values of x for which |A| is zero. -2, 3 4, -2(twice) 2, 3(twice) -4, 4 25. Use matrix method to solve the following system of equations : 5x-7y = 2, 7x-5y = 3 x = 3/18, y = 5/18 x = 1/24, y = 16/19 x = 11/24, y = 1/24 x= 1/25, y = 4 1 out of 25 Time is Up! Time's up