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Question

Can a determinant be calculated for a 5×4 matrix?


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Solution

Given,

Matrix of order 5×4,

Number of rows=5

Number of columns=4

The determinant only exists for the square matrix.

A square matrix is a matrix in which the number of rows is equal to the number of columns such as 2×2 matrix, 3×3 matrix, 4×4 matrix and so on.

Number of rowsNumber of Columns

5×4 is not a square matrix.

Therefore, the determinant cannot be calculated for a 5×4 matrix.


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