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Linear Algebra With Applications
Found in: Page 1
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

Determine whether the statements that follow are true or false, and justify your answer.

17: Rank |222222222|=2

False, Rank of 222222222=1

See the step by step solution

Step by Step Solution

Step 1:Rank of matrix 

For finding the rank of matrix first of all we will change the given matrix in the echelon form.

We have given the matrix.


Step 2: Justification of answer  

Now, reduce the given matrix into row echelon form.


Now, the given matrix is in echelon form. Thus, the number of non-zero rows is equal to the rank of the matrix.

Thus, the rank of the given matrix is 1.

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