Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. 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 2 1/9 1/7 1/82. The image of the point P under a translation by the vectoris (-2, -1). Find the coordinates of P. (4,7) (3,5) (-2,4) (7, -4)3. Find the equation of the line joining P' and Q' which are the images of P(1, 2) and Q(3, 5) respectively under a transformation which is a reflection about the y-axis 2y + x -3 = 0 2y + 3x -1 = 0 3y +3x = 1 2x+4 =04. Solve the equations: x + 2y - z = 4 2x + 3y - z = 2 -x + y + 3z = -1 x = -5, y = 6, z = 10 x = 2, y = -3, z = 8 x = 3, y = -4, z = 9 x = 6, y = 2, z = -155. Given that A =find A33 -2 5 7 46. For what value of k, the matrix has no inverse 3/4 3/2 2/3 1/27. Find the values of x for whichis equal to zero -3 or 5 4 or -3/2 4 or 1/2 2 or 68. Which type of matrix shows a translation? 2x1 1x2 2x2 1x39. If A is a square matrix of order 3 and |A| = -2, find the value of |-3A| 24 54 34 4410. The point X(-3,-2) is the image of (0, 1) under an enlargement with scale factor k from center (-1, 0). Find k 3 2 5 111. Determine the order of the matrix 1x5 3x1 1x3 2x412. Given a square matrix A of order 3x3 such that |A| = 12 find the value of |A adj A | 1233 1728 1632 275313. 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)14. Find the cofactor of a12 in 35 73 46 6515. Given that I is a (2x2) unit matrix and Determine the constant k and m such that A² = kA + mI k = 4, m = -5 k = 2, m = -5 k =-5, m = -4 k = 4, m = 416. Find the value of x such that the points (0, 2), (1, x), and (3, 1) are collinear 5/3 5/2 2/5 3/517. If find AB [12] [45] [26] [32]18. Find the value of P, such that the matrix is singular 8 -9 7 -819. Find the value of x such that 3 or -17 10 or 20 1 or -2 -2 or -1420. Evaluate the determinant of 8 14 17 1221. Iffind f(A) where f(x) = x² - 5x - 2 2 0 1 -122. Find the area of a trapezium bounded by the line segment Ab, BB', B'A' and A'A given that A' is the image of A(1, 2) and B' the image of B(5, 4) under the transformation whose line of mirror symmetry is the x- axis 28 sq. units 48 sq. units 24 sq. units 32 sq. units23. Evaluate the determinant 1 2 -2 024. If , what is |A| -1 1 2 025. P = and Q = If PQ =Find (a, b) (4, 7) (2, 3) (1/2, 1/3) (1, 2)26 out of 25Time is Up!
