Exercises 17–20 refer to the matrices A and B

Chapter 1, Problem 17E

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QUESTION:

PROBLEM 17E

Exercises 17–20 refer to the matrices A and B below. Make appropriate calculations that justify your answers and mention an appropriate theorem.

How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in ℝ4?

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QUESTION:

PROBLEM 17E

Exercises 17–20 refer to the matrices A and B below. Make appropriate calculations that justify your answers and mention an appropriate theorem.

How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in ℝ4?

ANSWER:

Solution :

Step 1 :

we given the matrix  

                      

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