Back to Matrix Theory and Linear Algebra

Scalar multiplication

Solving for scalars that make a linear combination of matrices equal a target, and proving from the axioms that the scalar zero times any matrix is the zero matrix.

Matrix Theory and Linear Algebra, Scalar multiplication

Status

FlagsLoading your progress…

2 exercises

Exercise 4.3.2

Find scalars $x,y,z,w$ such that

3.0

Exercise 4.3.3

Using only the properties given in Propositions 4.15 and 4.20, show that $0A=0$ . Here the $0$ on the left is the scalar $0$ and the $0$ on the right is the zero matrix of appropriate size.

3.0

Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.