With A as in Exercise 17, find a nonzero vector in Nul A

Chapter 4, Problem 21E

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QUESTION:

Problem 21E

With A as in Exercise 17, find a nonzero vector in Nul A and a nonzero vector in Col A.

Exercise 17:

For the matrices in Exercises 17–20, (a) find ksuch that Nul A is a subspace of , and (b) find k such that Col A is a subspace of

Questions & Answers

QUESTION:

Problem 21E

With A as in Exercise 17, find a nonzero vector in Nul A and a nonzero vector in Col A.

Exercise 17:

For the matrices in Exercises 17–20, (a) find ksuch that Nul A is a subspace of , and (b) find k such that Col A is a subspace of

ANSWER:

Solution 21E

Step 1 of 5

Consider the matrix,

The objective is to find a nonzero vector in  and a nonzero vector in

Theis defined as  , where A is an  matrix.

Theis defined as  , where

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