Organizing Data Into Matrices
A rectangular array of numbers written within brackets.
matrix
What you perform on matrices with equal dimensions by adding the corresponding elements, which are elements in the same position on each matrix
matrix addition
The real number factor that you can multiply a matrix by is called a...
scalar
A matrix with the same number of columns as rows
square matrix
Evaluate the determinant: [-1 3 5] [2 -4 6] [0 1 -1]
18
Write the dimensions of the matrix [-4 1/3 -3]
1 x 3 matrix
Find the sum [1 2 ] + [0 0] [5 -7] [0 0]
[1 2 ] [5 -7 ]
When you multiply the elements of each row of the first matrix by the elements of each column of the second matrix and add the products.
performing matrix multiplication
Evaluate the determinant: [-3 4] [ 2 -5]
7
Evaluate the determinant: [-3 4 0] [2 -5 1] [0 2 3]
27
Write the dimensions of the matrix [4 6 5 ] [2 -3 -7] [1 0 9 ]
3 x 3 matrix
Find the sum [2 8] + [-2 -8] [-3 0] [3 0]
[0 0] [0 0]
Find: -3 [15 -12 10 0] [20 -10 7 0]
[-45 36 -30 0] [-60 30 -21 0]
Evaluate the determinant: [4 2] [4 2]
0
Evaluate the determinant: [1 -1 2] [0 4 2] [3 -6 10]
-6
What determine the dimensions of a matrix.
the number of horizontal rows and the number of vertical columns
Matrices with the same dimensions and equal corresponding elements
Equal Matrices
Find: 8 [60 7 5 9] [0 2 4 6]
[480 56 40 72] [0 16 32 48]
Find the determinant: [8 7] [2 3]
10
Evaluate the determinant: [2 0 -1] [0 0 0] [1 -5 3]
0
Write the dimension of the matrix [1] [2] [0] [3]
4 x 1 matrix
Find the sum [14 5] + [-14 -5] [0 -2] [0 2 ]
[0 0] [0 0]
Find: -9 [6 8 9 5]
[-54 -72 -81 -45]
Evaluate the determinant: [9 0] [4 2]
18
Evaluate the determinant: [-2 7 1] [ 5 6 4] [-1 0 8]
-398