Question

A student wrote the matrix below to represent the solution to a system of equations.

Which of the following describes the solution?

A. No solution
B. An infinite number of solutions
C. (-2, 0, -1)
D. (5, -2, -1)

Answer 1

A) No solution!

Explanation:

Edge 2021 :)

Answer 2

Option A is correct.

Explanation:

The following matrix represent the augmented matrix

In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.

Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix

The given matrix is:

`\left[\begin{array}{cccc}1&0&5&-2\\0&0&3&0\\0&0&0&-1\end{array}\right]`

Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.

As the variables have zero values, there cannot be any solution

So, there is no solution.

So, Option A is correct.