28/03/2020Matrices and Transformation(Senior Class Maths Study by Topics) 0Comments by Gate Academy Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Determine the order of the matrix(4 5 5 3) 1x4 3x1 4x1 2x42. The point X(-3,-2) is the image of (0, 1) under an enlargement with scale factor k from center (-1, 0). Find k 5 3 1 23. Given that C =find C22 4 -2 7 24. Find the cofactor of a_{12 }in 35 65 73 465. Determine the order of the matrix 1x3 3x1 1x5 2x46. If A is is a non singular matrix of order 3 and |A| = -3 find |adj A|. -4 11 -12 97. Determine the order of the matrix 3x2 3x3 1x3 2x38. Given thatFind the values of x for which |A| is zero. 4, -2(twice) -2, 3 -4, 4 2, 3(twice)9. If B be a 4x5 type matrix, then what is the number of elements in the third column 6 5 3 410. Given that I is a (2x2) unit matrix andÂ Â Â If BA = I, where B is a (2x2) matrix, deduce that B maybe expressed in the form Î±A + Î»I, stating the values of the constants Î± and Î», respectively. 1/5 and 2/5 1 and 1/5 -1 and 4/5 - 1/5 and 4/511. Determine the order of the matrix 1x2 3x4 3x3 2x412. The matrices A and B are given by:Â A =and B =where a â‰ 0, b â‰ 0If BA =kA, where k is a scalar, Find another equation satisfied by a and b 2a + 5b = 3 3a + kb =1 a + 3b = 0 2a + (1 - k)b = 013. Use matrix method to solve the following system of equations : 5x-7y = 2, 7x-5y = 3 x = 1/24, y = 16/19 x = 11/24, y = 1/24 x= 1/25, y = 4 x = 3/18, y = 5/1814. Given that A =find A32 7 4 -2 215. Find the value of P, such that the matrix is singular 8 -8 -9 716. Factorize completelyÂ x(y - x)y(y + x) xy(y + x)((y + x) xy(y - x)(y + x) xy(x -y)(x + y)17. Given thatÂ Â Â Â Â Â Â If |kI -A| = 0, deduce the values of Î¼ and Î», respectively such thatÂ Â Â AÂ²=Î¼A + Î»I. 1,2 3,5 5,10 2,518. 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 90Â°. (2, -3) (7, 4) (6, 4) (3, 2)19. Use product to solve the systems of equations x - y + 2z = 1, 2y - 3z = 1, 3x - 2y + 4z = 2 x = 1, y = 3, z -2 x = -1, y = -4, z = 5 x = 0, y = 5, z = 3 x = 4, y = 7, z =-420. find x and y, respectively 2, 7 2, 9 2, 8 6, 921. Evaluate the determinant ofÂ -12 12 -10 822. If , solve the system of equations3x + 4y + 7z = 14, 2x - y + 3z = 4, x +2y - 3z = 0 x =2, y = 2/3, z =1 x = 1, y = 2, z = 3 x= 1, y = 1/2, z = -1/2 x =1, y = 1, z = 123. Solve for the determinant of -1 -2 0 124. Under a reflection (2, -1) â†’ (6, -1). What is the mirror line? 3 1 4 225. Area of a triangle with vertices (k, 0), (1, 1), and (0, 3) is 5 unit. Find the value (s) of k 10/3 20/3 20/7 3/1026 out of 25Time is Up!