Homepage › Solution manuals › Gilbert Strang › Introduction to Linear Algebra › Exercise 3.4.4

Exercise 3.4.4

Answers

The system

Ux = [\begin{matrix} a & b & c \\ 0 & d & e \\ 0 & 0 & f \end{matrix}] [\begin{matrix} x \\ y \\ z \end{matrix}] = [\begin{matrix} 0 \\ 0 \\ 0 \end{matrix}]

gives $z = 0$ then $y = 0$ then $x = 0$ (by back substitution). A square triangular matrix has independent columns (invertible matrix) when its diagonal has no zeros.

mathchakra

2022-01-23 15:42

Exercise 3.4.4

Answers

Comments

Add answer