Multiplying Matrices

Front

What is the condition for multiplying two matrices?

Back

Matrices can be multiplied only 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 scalar multiplication in matrices?

Back

Scalar multiplication involves multiplying each element of a matrix by a scalar (a constant number).

Tags

CCSS.HSN.VM.C.7

Front

If matrix A is 4x3 and matrix B is 3x2, what is the dimension of the resulting matrix when A is multiplied by B?

Back

The resulting matrix will be 4x2.

Tags

CCSS.HSN.VM.C.8

Front

Can a 6x2 matrix be multiplied by a 2x12 matrix?

Back

Yes, a 6x2 matrix can be multiplied by a 2x12 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What happens if the dimensions of two matrices do not align for multiplication?

Back

If the dimensions do not align, the matrices cannot be multiplied.

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The result is the original matrix.

Tags

CCSS.HSN.VM.C.10

Front

What is the identity matrix for a 3x3 matrix?

Back

The identity matrix for a 3x3 matrix is: [[1, 0, 0], [0, 1, 0], [0, 0, 1]].

Tags

CCSS.HSN.VM.C.10

Front

If matrix A is 2x3 and matrix B is 3x4, what is the size of the product AB?

Back

The size of the product AB will be 2x4.

Tags

CCSS.HSN.VM.C.8

Front

What is the zero matrix?

Back

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

Front

Can you multiply a 3x3 matrix by a 3x3 matrix?

Back

Yes, you can multiply a 3x3 matrix by another 3x3 matrix.

Tags

CCSS.HSN.VM.C.8