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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

Find the rank of the matrices in 2 through 4.

3. [111111111]

The rank of the matrix[111111111] is, 1.

See the step by step solution

Step by Step Solution

Step 1: Find row reduce echelon form 

The number of leading 1’s in rref(A) represents the rank of a matrix A denoted byrank(A) .

The given matrix is, [111111111] .

The reduced row echelon form of the given matrix is:


Step 2: Determine the rank of a matrix. 

The number of leading 1’s in the matrix [111000000] are 1.

Hence, the rank of the given matrix is 1.

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