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Matrix Operations
Multiplying Matrices
Determinate's and Cramer's Rule
Identity and Inverse Matrices
Solving Systems Using Inverse Matrices
100
[8 2] + [1 4] = ?
What is [9 6]
100
[2 3] [1 2] [-4 1] [2 5]
What is [8 19] [-2 -3]
100
Find the determinant [5 -1] [2 3]
What is -13
100
What is the identity matrix for [4 2] [1 5]
What is [1 0] [0 1]
100
Solve −x + 5y = 4 2x + 5y = −2
What is x=-2 y=2/5
200
[5 6 ] [4 3] [2 12] + [7 1] = ? [9 1 ] [5 6]
What is [9 9 ] [9 13] [14 7 ]
200
[6 5] [1 3] [4 2] [6 8]
What is [36 58] [16 28]
200
Find the Determinant [1 2] [3 4]
What is -2
200
What is the identity matrix for [9 8 3] [1 5 4] [8 7 5]
What is [1 0 0] [0 1 0] [0 0 1]
200
Solve x + 2y -z = 6 3x + 5y -z = 2 -2x - y - 2z = 4
What is x=22, y=-16, z=-16
300
[2 4] - [7 1] = ? [8 3] [5 6]
What is [-5 3] [ 3 -3]
300
[2 2] [5 6] [2 1] [1 2]
What is [12 16] [11 14]
300
Find the determinant [6 2 -4] [5 6 -2] [5 2 -3]
What is 6
300
Find the inverse [2 3] [4 5]
What is [5 -3] [-4 2]
300
Solve x + y + z = 6 2y + 5z = -4 2x + 5y - z = 27
What is x=5 y=3 z=-2
400
[3 6 9] [5 2 1] [4 2 1] - [2 8 7] = ? [5 8 7] [6 7 1]
What is [-2 4 8 ] [2 -6 -6] [-1 1 6 ]
400
[1 2 3] [9 8 7] [4 5 6] [6 5 4] [7 8 9] [3 2 1]
What is [27 22 17] [84 69 54] [138 114 90]
400
Solve 4x + 5y = 8 3x + 2y = -1
What is (-3, 4)
400
Find the inverse of [16 22] [71 88]
What is [88 -22] [-71 16]
500
[7 9] [2 3] [9 4] [8 2] + [8 1] - [6 7] = ? [3 1] [5 6] [8 3]
What is [0 8 ] [10 -4] [0 4 ]
500
[6 7 7] [9 4 1] [2 4 9] [2 7 5] [1 3 8] [5 4 8]
What is [103 101 97] [71 72 94] [55 57 80]
500
Solve x + 2y + 3z = -5 3x + y - 3z = 4 -3x + 4y + 7z = -7
What is x=-1, y=1, z=-2
500
Find the inverse of 1/2 [5 -3] [-4 2]
What is [-5/2 3/2] [2 -1 ]