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AnnyKZ [126]
3 years ago
15

Suppose a system of linear equations has a 3 5 augmented matrix whose fifth column is a pivot column. is the system consistent?

why (or why not)? 4
Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

The system will be inconsistent.

Step-by-step explanation:

We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.

Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix  A.

Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.

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