Determinant is a number associated to a square matrix.
None of these
Determinant is a number associated to a matrix.
Determinant is a square matrix
Answer
The determinant is an operation that we perform on arranged numbers. A square matrix is a set of arranged numbers. We perform some operations on a matrix and we get a value that value is called as a determinant of that matrix hence a determinant is a number associated to a square matrix. Therefore the choice is: A
If \(\left|\begin{array}{cc} {x} & {2} \\ {18} & {x} \end{array}\right|=\left|\begin{array}{cc} {6} & {2} \\ {18} & {6} \end{array}\right|\) , then x is equal to
If \(\Delta=\left|\begin{array}{lll} {a_{11}} & {a_{12}} & {a_{13}} \\ {a_{21}} & {a_{22}} & {a_{23}} \\ {a_{31}} & {a_{32}} & {a_{33}} \end{array}\right|\) and Aij is Cofactors of aij, then the value of \(\Delta\) is given by
Using the property of determinant and without expanding prove that \(\left| {\begin{array}{*{20}{c}} 0&a&{ - b} \\ { - a}&0&{ - c} \\ b&c&0 \end{array}} \right| = 0\)