Multiplying Matrices

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns (e.g., 3 x 2 means 3 rows and 2 columns).

Front

How do you multiply two matrices?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have dimensions equal to the number of rows of the first matrix and the number of columns of the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The result will be a 3x3 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the sum of the highest and lowest values in a resulting matrix?

Back

To find the sum, identify the highest and lowest values in the resulting matrix and add them together.

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CCSS.HSN.VM.C.6

Front

What does the product of two matrices represent?

Back

The product of two matrices represents a new matrix that combines the linear transformations represented by the original matrices.

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CCSS.HSN.VM.C.9

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as a multiplicative identity in matrix multiplication.

Tags

CCSS.HSN.VM.C.10

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero. It acts as the additive identity in matrix addition.

Front

How do you determine if two matrices can be multiplied?

Back

Two matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, turning rows into columns and vice versa.

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 and provides important properties about the matrix, such as whether it is invertible.