If the matrix a is such that: a = [ 2 4 7 ] [1 9 5] then the determinant of a is equal to:
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we cannot do matrix multiplication here because the no of Columns of first matrix is not equal to the no of rows of second matrix
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Concept
A matrix is an array or table of numbers, arranged in rows and columns. The determinant of a matrix is the scalar value or number that is calculated using a square matrix. The matrix has to be square, then only a determinant can be calculated.
Given
a =
Find
we are asked to find the determinant of 'a'
Solution
we have,
a =
Multiplying the two matrices, we get-
a =
a =
we can write as,
a = 2 * 4 * 7
Now, we find the determinant of the 3 * 3 matrix
Here we see that two columns of matrix a are identical
⇒ the determinant of the matrix will be 0
Thus the determinant of a is equal to 0
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