Matrices

Question 1

Square Matrix:

Answer 1

Numbers of rows and columns are the same

Question 2

Zero Matrix:

Answer 2

All values are zero

Question 3

Identity Matrix:

Answer 3

Leading diagonal is all 1, all other terms are zero

Question 4

Order of a matrix:

Answer 4

Rows x Columns

Question 5

Two Matrices can be multiplied if:

Answer 5

The number of columns in the first = number of rows in the second

axb * bxc

Question 6

Determinant of 2x2 is:

Answer 6

Product of leading diagonal - product of other diagonal

Question 7

If det = 0

Answer 7

Singular

Question 8

If det not= 0

Answer 8

Non-Singular

Question 9

Singular means

Answer 9

Does not have an inverse

Question 10

Non-Singular means

Answer 10

Has an inverse

Question 11

Determinant of 3x3:

Answer 11

(Minor of the top left term) - (the minor of the top middle term) + (the minor of the top right term)

Question 12

Inverse of a 2x2:

Answer 12

(d -b) * 1/det
(-c a)

Question 13

(AB)⁻¹=

Answer 13

B⁻¹A⁻¹

Question 14

Inverse of 3x3:

Answer 14

Find DetA
Matrix of Minors
Matrix of Cofactors
Transpose Matrix of Cofactors
Transposed Matrix * 1/DetA