Homepage › Solution manuals › Gilbert Strang › Introduction to Linear Algebra › Exercise 3.4.41

Exercise 3.4.41

Answers

I = [\begin{matrix} 1 \\ 1 \\ 1 \end{matrix}] - [\begin{matrix} 1 \\ 1 \\ 1 \end{matrix}] + [\begin{matrix} 1 \\ 1 \\ 1 \end{matrix}] + [\begin{matrix} 1 \\ 1 \\ 1 \end{matrix}] - [\begin{matrix} 1 \\ 1 \\ 1 \end{matrix}] .

The six $P$ ’s are dependent. Those five are independent: The 4th has $P_{11} = 1$ and cannot be a combination of the others. Then the 2nd cannot be (from $P_{32} = 1$ ) and also 5th $(P_{32} = 1)$ . Continuing, a nonzero combination of all five could not be zero.

mathchakra

2022-01-23 16:11

Exercise 3.4.41

Answers

Comments

Add answer