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Flashcards in Matrices Basics Deck (18)
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1

What is a matrix

a rectangular table of numbers

2

A matrix with 6 rows and 3 columns can be described as a

6x3 matrix

3

what is a square matrix

A matrix with the same number of rows and columns eg 3x3 matrix

4

what is the transpose of a matrix

the matrix gotten by interchanging the rows and columns of a matrix

5

notation for transpose of matrix

M ^T

6

matrix addition and subtraction can only be done when

matrices are of the same order (have same number of rows and columns)

7

how to add and subtract matrices

add/subtract corresponding elements

8

how to multiply a matrix by a scalar

multiply each element by the scalar

9

we can only multiply two matrices together if

the number of columns in the first column is equal to the number of rows in the second matrix

10

how do we multiply matrices by each other

each row of matrix 1 by each column of matrix 2

11

what order will the elements be in the resulting matrix of matrix multiplication

(no. rows in matrix1 x no. of columns in matrix 2)

12

is multiplication of matrices commutative

no

13

how to find the determinant of a 2x2 matrix

det(A)=ad-bc

14

what is a singular matrix

a matrix with determinant of 0

15

what is an identity matrix

A matrix with 1s in the main diagonal and 0s everywhere else

16

how do we notate an identity matrix

I

17

inverse of a 2x2 matrix

1 over det(A) by the matrix (with main diagonal swapped and signs changed on cross diagonal)

18

can inverses exist for any type of matrix

no, only square matrices