Matrix Flashcard

Front

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

Back

(2 x 2)

Front

Name the dimensions of the matrix.

Back

2x4

Front

How many rows are in a 7 x 3 matrix?

Back

7

Front

What is a matrix?

Back

A rectangular array of numbers written within brackets.

Front

Add the following matrices: \[\begin{bmatrix} 11 & 8 \\ -4 & 2 \end{bmatrix} + \begin{bmatrix} 3 & 2 \\ -6 & -6 \end{bmatrix}\]

Back

\[\begin{bmatrix} 11+3 & 8+2 \\ -4-6 & 2-6 \end{bmatrix} = \begin{bmatrix} 14 & 10 \\ -10 & -4 \end{bmatrix}\]

Front

What are the dimensions of a matrix with 4 rows and 2 columns?

Back

4x2

Front

What is the identity matrix of size 2?

Back

\[\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\]

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

A 2x2 matrix.

Front

What is the determinant of a 2x2 matrix \[\begin{bmatrix} a & b \\ c & d \end{bmatrix}\]?

Back

ad - bc

Front

What is a zero matrix?

Back

A matrix in which all the elements are zero.