Adding Matrices
Subtracting Matrices
Multiplication
& Scalar Multiplication
Order of Matrix
Equations
100
What is [4 6] + [5 3] [9 2] [1 7]
[4 6] + [5 3] → [9 9] [9 2] [1 7] [10 9]
100
What is [9 4] - [7 3] [2 6] [1 5]
[9 4]-[7 3] → [2 1] [2 6] [1 5] [1 1]
100
What is -6[9 -18] [-5 15]
-6[9 -18] → [-54 108] [-5 15] [30 -90]
100
Find the order of [8 3] [0 4]
[8 3] → 2*2 [0 4]
100
Put the following equations into matrix form: 2x+3y=10 5x+4y=3
2x+3y=10 → [2 3 10] 5x+4y=3 [5 4 3]
200
What is [-5 3] + [13 -7]? [8 -2] [-6 9]
[-5 3] + [13 -7] → [8 -4] [8 -2] [-6 9] [2 7]
200
What is [9 6] - [2 (-5)] [56 8] [34 10]
[9 6] - [2 (-5)] → [7 11] [56 8] [34 10] [22 -2]
200
What is 3/4[16 (8/3)] [-32 36]
3/4[16 (8/3)] [-32 36]
200
Find the order of [54 4 5] [1 36 9]
[54 4 5] → 2*3 [1 36 9]
200
Put the following equations into matrix form: m +5n=12 -n=2
m +5n=12 → [1 5 12] -n=2 [0 -1 2]
300
What is [3 4 7] + [5 6 5] ? [5 1 9] [6 2 5]
[3 4 7] + [5 6 5] → [8 10 12] [5 1 9] [6 2 5] [11 3 14]
300
What is [-23 11 18] - [58 17 -42] [16 27 31] [ -9 31 14]
[-23 11 18] - [58 17 -42] → [-81 -6 60] [16 27 31] [-9 31 14] [25 -4 17]
300
What is [-4 7] [-18 6] [-15 13] * [0 2]
[-4 7] [-18 6] [72 -10] [-15 13] * [0 2] → [270 -64]
300
Find the order of the matrix [12 54 - 8 9] [3 -7 27 -3] [46 4 5 2]
[12 54 - 8 9] [3 -7 27 -3] → 3*4 [46 4 5 2]
300
Put the following equations into matrix form: 4u+v=-12 -u+7v=45 8u=31
4u+v=-12 [4 1 -12] -u+7v=45 → [-1 7 45] 8u=31 [8 0 31]
400
What is [3 11] + [7 -9] ? [5 0] [2 √5]
[3 11] + [7 -9] → [10 2] [5 0] [2 √5] [7 √5]
400
What is [√9 -39 40] - [√16 -18 67] [27 -13 8] [0 -13 3 ]
[√9 -39 40] - [√16 -18 67] → [-1 -21 -27] [27 -13 8] [0 -13 3 ] [27 0 5]
400
What is [18 0 2] [0 13] [5 11 7] * [-3 9] [8 0]
[18 0 2] [0 13] [16 234] [5 11 7] * [-3 9] → [23 164] [8 0]
400
Find the order of the matrix [9 -27 -5 1 0] [13 8 -40 6 18] [14 35 2 -1 21]
[9 -27 -5 1 0] [13 8 -40 6 18] → 3*5 [14 35 2 -1 21]
400
Put the following equations into matrix form: -2m+n+8p=6 8m+2n-5p=-3 -m-5n+p=11
-2m+n+8p=6 [-2 1 8 6] 8m+2n-5p=-3 → [8 2 -5 -3] -m-5n+p=11 [-1 -5 1 11]
500
What is [15 8 0] + [-13 1 0] ? [9 2 √3] [3 -5 0] [7 -5 -11] [8 14 18]
[15 8 0] [-13 1 0] [ 2 9 0] [9 2 √3] + [3 -5 0] → [12 -3 √3] [7 -5 -11] [8 14 18] [15 9 7]
500
What is [√18 -15 40] [9 -30 54] [36 50 9] - [24 25 7] [24 -27 5] [-2 -36 -13]
[√18 -15 40] [9 -30 54] [((3*√2)-9) 15 -14] [36 50 9] - [24 25 7] → [12 25 2] [24 -27 5] [-2 -36 -13] [26 9 18]
500
What is [15 5] [-1 2 14 0] [4 2] * [0 3 -8 -5] [-8 -3] [7 0]
[15 5] [-1 2 14 0] [-15 45 170 -25] [4 2] * [0 3 -8 -5] → [-4 14 40 -10] [-8 -3] [8 -25 -88 15] [7 0] [-7 14 98 0]
500
Find the order of the matrix [15 0 -5 19 3 9] [6 10 0 -2 48 5] [9 -4 12 36 0 7] [8 6 -24 7 54 3]
[15 0 -5 19 3 9] [6 10 0 -2 48 5] → 3*4 [9 -4 12 36 0 7] [8 6 -24 7 54 3]
500
Put the following matrix into equation form using the variables x,y, and z: [1 9 6 5] [2 0 -8 12] [3 -6 2 -1]
[1 9 6 5] x+9y+6z=5 [2 0 -8 12] → 2x-8z=12 [3 -6 2 -1] 3x-6y+2z=-1
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