M4 Unit 8 ACT Prep

Front

What must be true in order to MULTIPLY two matrices?

Back

The number of columns of the 1st must equal the number of rows of the second.

Front

If u = <-2, 0>, find 3u.

Back

<-6, 0>

Front

Define matrix multiplication.

Back

Matrix multiplication involves taking the dot product of rows and columns from two matrices, where the number of columns in the first matrix must equal the number of rows in the second.

Front

What is a scalar multiplication of a vector?

Back

Scalar multiplication involves multiplying each component of a vector by a scalar (a single number).

Front

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

Back

The result is a 2x2 matrix.

Front

Explain the concept of a zero matrix.

Back

A zero matrix is a matrix in which all the elements are zero.

Front

What is the identity matrix?

Back

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

Front

How do you determine if two matrices are equal?

Back

Two matrices are equal if they have the same dimensions and all corresponding elements are equal.

Front

What is the transpose of a matrix?

Back

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

Front

Define a vector in mathematical terms.

Back

A vector is a quantity defined by both a magnitude and a direction.