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Chapter 1: Q1.3 28E (page 35)

If the rank of a 5 脳 3 matrix A is 3, what is rref(A)?

Short Answer

Expert verified

The rref(A) of a 5 x 3 matrix A with rank 3 is, 100010001000000.

Step by step solution

01

Consider the system.

The number of leading 1鈥檚 in rref (A) represents the rank of a matrix A denoted by rank (A).

A is a 5 脳 3 matrix with rank 3.

02

Consider the rref of matrix.

The leading one鈥檚 of rref of a matrix represents the rank of the matrix.

As the 5 x 3 matrix A has the rank 3, thus,

rrefA=100010001000000

Hence, 100010001000000 is the rref(A) of 5 x 3 matrix A with the rank 3.

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