Let A be a 5 × 4 matrix with a pivot in each column. Is A invertible? Why or why not?

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13-07-2019
Mathematics

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Let A be a 5 × 4 matrix with a pivot in each column. Is A invertible? Why or why not?

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rejkjavik rejkjavik · Answer 1 · 2019-07-22T07:45:23+02:00

Answer:

Matrix A is not invertible.

Step-by-step explanation:

Invertible matrix are those matrix which are square matrix or non singular matrix.

For any matrix to be invertible, matrix should be non singular i.e. det(x)[tex]\neq[/tex] 0.

But for the question given above we cannot find determinant of matrix A as it is not square matrix. so inverse of given matrix does not exist. so it is not possible to have non trival solutions.