Multiplying Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating the number of rows and the number of columns.

Front

Can you add or subtract matrices of different dimensions?

Back

No, you can only add or subtract matrices that have the same dimensions.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of multiplying a matrix by a scalar?

Back

Multiplying a matrix by a scalar involves multiplying each element of the matrix by that scalar.

Tags

CCSS.HSN.VM.C.7

Front

What is the condition for two matrices to be multiplied?

Back

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

Tags

CCSS.HSN.VM.C.8

Front

If A is a 2x3 matrix and B is a 3x2 matrix, what is the dimension of the product AB?

Back

The product AB will be a 2x2 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Tags

CCSS.HSN.VM.C.10

Front

What is the zero matrix?

Back

The zero matrix is a matrix in which all elements are zero.

Front

How do you find the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties of the matrix.