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Introduction to Linear Algebra

Exercise 3.2.31

Answers

(a): $R = [\begin{matrix} 1 & 1 & 1 & 1 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{matrix}]$
rank $1$ .
(b): $R = [\begin{matrix} 1 & 0 & - 1 & - 2 \\ 0 & 1 & 2 & 3 \\ 0 & 0 & 0 & 0 \end{matrix}]$
rank 2.
(c): $R = [\begin{matrix} 1 & - 1 & 1 & - 1 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{matrix}]$
rank 1.

mathchakra

2022-01-23 13:50

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