Welcome to your Matrices and Transformation(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Given that find the value of x that satisfiesx + y -2z = 1, x+z = -1 and 2x -2y + z = 1 0 -1 1 2 2. Use matrix method to solve the following system of equations : 5x-7y = 2, 7x-5y = 3 x = 3/18, y = 5/18 x = 11/24, y = 1/24 x= 1/25, y = 4 x = 1/24, y = 16/19 3. What type of transformation is shown by the matrix ? reflection enlargement translation rotation 4. Using matrix method, solve the following system of linear equations :2x - y = 4, 2y + z = 5, z + 2x = 7. x = 1, y = 1/3, z = 1/3 x = -1, y = 3, z = 2 x = -2, y = 1/2, z = 3 x = 3, y = 2, z = 1 5. If , what is |A| 1 -1 2 0 6. What is the image of the point (2, 3) under the mapping : x → 2x + y y → x - y (1, 7) (2, -3) (7, -1) (3, 2) 7. Find the value of a23 + a32 in the matrix A = [aij]3x3where aij = 12 10 11 13 8. A is the point (-2, 3) and B is the point (-3, -2). Under what mapping is B the image of A? Rotation about the +30 degrees about the origin Rotation through +90 degrees about the origin Rotation about the +180 degrees about the origin Rotation about the +45 degrees about the origin 9. The image of the point P under a translation by the vectoris (-2, -1). Find the coordinates of P. (7, -4) (3,5) (-2,4) (4,7) 10. 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 32 sq. units 24 sq. units 48 sq. units 28 sq. units 11. If , find x 14 -13 12 -11 12. Which one of the following is NOT a coordinate of the unit square? (0, 1) (-1, -1) (1, 1) (1, 0) 13. Which type of matrix shows a translation? 2x2 2x1 1x3 1x2 14. Find the value of a² - b² - c² - d² b² + c² + d² c² + d² a² + b² + c² + d² 15. 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 16. Determine the order of the matrix 1x2 3x3 3x4 2x4 17. 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 18. Determine the order of the matrix(4 5 5 3) 1x4 2x4 3x1 4x1 19. Find the value of x such that 10 or 20 3 or -17 -2 or -14 1 or -2 20. Find the minor of a23 in -4 -6 -3 -5 21. Given that A =find A32 7 2 -2 4 22. Find the value of P, such that the matrix is singular 7 8 -8 -9 23. Determine the order of the matrix: 2x2 1x2 1x1 2x3 24. If B be a 4x5 type matrix, then what is the number of elements in the third column 3 6 4 5 25. If , solve the system of equations3x + 4y + 7z = 14, 2x - y + 3z = 4, x +2y - 3z = 0 x= 1, y = 1/2, z = -1/2 x =2, y = 2/3, z =1 x =1, y = 1, z = 1 x = 1, y = 2, z = 3 1 out of 25 Time is Up! Time's up