Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Evaluate the determinant 021-22. Use product to solve the systems of equations x - y + 2z = 1, 2y - 3z = 1, 3x - 2y + 4z = 2x = 4, y = 7, z =-4x = 1, y = 3, z -2x = -1, y = -4, z = 5x = 0, y = 5, z = 33. Find the cofactor of a_{12 }in 463573654. Given that A =find A3272-245. Find the values of x for whichis equal to zero4 or 1/22 or 64 or -3/2-3 or 56. For what value of x the matrix is a skew symmetric matrix-151-57. Determine the order of the matrix1x23x33x42x48. Which is the best description for the transformation given by the following matrix, reflection in x-axisreflection in y = xreflection in y = -xreflection in y-axis9. 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- axis32 sq. units28 sq. units48 sq. units24 sq. units10. Find the image of the points under a rotation through 90° in the anticlockwise sense about the origin D(1, -2)(-1, -2)(1, -2)(2, 1)(-1, 2)11. Find the area of the triangle with vertices (0, 0), (6, 0) and (4, 3)10 sq. units9 sq. units7 sq. units8 sq. units12. Area of a triangle with vertices (k, 0), (1, 1), and (0, 3) is 5 unit. Find the value (s) of k20/33/1010/320/713. If A = 2B where A and B are square matrices of the order 3 x 3 and |B|= 5, what is |A|?5450454014. 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 and 4/51 and 1/51/5 and 2/5- 1/5 and 4/515. Ifis a symmetric matrix, find x342516. 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 = 0-3 or 51 or 52 or 71 or -517. Given that A =find A3347-2518. 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)(5, 7)(33, 25)(-7, 5)19. The point X(-3,-2) is the image of (0, 1) under an enlargement with scale factor k from center (-1, 0). Find k352120. Given that A = , B = and C = Find the values of x, y, a and b respectively, if A = B+C8, 2, 3, 24, 6, 5, 24, 4, 6, 43, 5, 2, 621. 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 1/91/71/8222. 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-axis2y + x -3 = 02y + 3x -1 = 02x+4 =03y +3x = 123. If find AB[12][26][32][45]24. Determine the order of the matrix3x32x31x33x225. Evaluate the determinant of 814121726 out of 25Time is Up!