Matrices Review [Leach]

Dimensions

100

The name of a matrix with the same amount of columns and rows.

What is a square matrix?

200

The result of multiplying a matrix by the identity matrix.

What is the matrix remains the same?

300

Determine the missing dimensions:

3x2 * _______ = 3x7

What is 2x7?

400

A = 3x1    and   B = 3x1

Dimensions of AB

What is the matrices cannot multiply. "Matrix 1's column # must match Matrix 2's row # (The middle numbers must match) and they don't."

500

The following is true of matrices A, L & G.

AL, LG, & GA are defined.

LA, GL, & AG are not defined.

Show possible dimensions for A, L & G.

A = a x b

L = b x c

G = c x a

Addition & Subtraction

100

The dimension requirements when adding or subtracting matrices.

What is they must be the same size?

200

The result matrix of

[[-4],[1],[2]]+[[6],[1],[3]]

What is 

[[2],[2],[5]]

300

The result matrix of 

[[-2,-2]]-[[4,-4]]

What is 

[[-6,2]]

400

The result matrix of 

[[0,-3],[-5,-3]]-[[-1,-5],[5,1]]

What is 

[[1,2],[-10,-4]]

500

The result matrix of 

[[-4,5]]-([[-4,-2]]-[[-2,0]])

What is 

[[-2,7]]

Scalar Multiplication

100

The simplified matrix of

-2[[6,1,-2]]

What is 

[[-12,-2,4]]

200

The value that makes this equation true:

k[[0,42],[3,24]]-[[5,-17],[-8,1]]=[[-5,45],[10,15]]

What is k = 2/3

300

The simplified matrix of 

3[[0,5],[6,3],[1,4],[-5,-5]]

What is

[[0,15],[18,9],[3,12],[-15,-15]]

400

Simplified matrix of

-5[[-6,4,-1],[-3,14,2]]

What is 

[[30,-20,5],[15,-70,-10]]

500

The value of c for 

4[[-3,c],[9,a-4]]=[[-12,14-a],[36,24]]

What is 1?

Multiplication

100

The dimension requirement when multiplying matrices.

What is the columns from the first must equal the rows from the second?

200

Multiply 

[[-5,5]]*[[2,-4],[2,-1]]

What is 

[[0,15]]

300

Multiply: 

[[3],[1]]*[[2,4,-3]]

[[6,12,-9],[2,4,-3]]

400

Multiply 

[[3,0],[1,7]]*[[-2,-4],[6,5]]

What is 

[[-6,-12],[40,31]]

500

 Multiply 

[[2,4],[-5,6]]*[[1,-4,0],[-1,-6,6]]

What is 

[[-2,-32,24],[-11,-16,36]]

Determinant & Inverses

100

The determinant of 

[[0,2],[2,2]]

What is 

-1/4

200

The determinant of 

[[5,-8],[-3,-6]]

What is 

-1/54

300

The determinant of

[[8,-12],[-2,3]]

What is the determinant does not exist.

400

The inverse in decimals of matrix

[[4,7],[2,6]]

What is 

[[0.6,-0.7],[-0.2,0.4]]

500

The inverse of 

[[7,5],[3,2]]

What is 

[[-2,5],[3,-7]]