Matrices

Question 1

How do you multiply a matrix by a single number?

Answer 1

Multiply each number in the matrix with the scalar

Question 2

What needs to be true so that you can multiply two matrices together?

Answer 2

The number of columns of the first matrix must equal the number of rows in the second matrix.

Question 3

When you multiply two matrices together how many rows and columns will the resulting matrix have?

Answer 3

The resulting matrix will have the same number of rows are the first matrix and the same number of columns as the second matrix.

Question 4

How do you multiply two matrices?

Answer 4

Multiple each item in the first matrix’s row with the corresponding item in the second matrix’s column, then sum up the results.

Question 5

What is the determinant of a matrix?

Answer 5

A scalar value that can be calculated from a square matrix

Question 6

What is the formula for the determinant of a 2x2 matrix?

Answer 6

ad - bc

Question 7

What is the transpose of a matrix?

Answer 7

An operator which flips a matrix over its diagonal.