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if determinant of a 3*3 matrix A be 6 , then the determinant of matrix B defined by...
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You should use the following property of determinants, such that:
if `det A = a => det (A^2) = a^2`
Hence, since determinant of a matrix is a scalar, multiplying it by another scalar, the result will be the following:
`b*det A = b*a => b*det (A^2) = b*a^2`
Reasoning by analogy yields:
`det A = 6 => det (A^2) = 6^2 => det (A^2) = 36`
`det B = 5*det(A^2) => det B = 5*36`
Hence, evaluating det B under the given conditions, yields `det B = 5*36.`
Posted by sciencesolve on May 12, 2013 at 5:01 PM (Answer #1)
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