Scalar and Matrix Multiplication

Question 5 • Algebra 2 - Semester 2 Pathways

Which of the following statements are true about scalar multiplication of matrices?

Answer

You can multiply a matrix of any size by a scalar.

For any matrix A, 1 × A = A.

For any scalar r, rI = I, where I is the identity matrix.

You can scale geometric figures using scalar multiplication.

Scalar multiplication is a shortcut for repeated addition of the same matrix.

Scalar multiplication is not possible for matrices that are not square.

Warm-Up

Multiplying and Dividing Rational Expressions

Rational Equations