Which property of determinants is illustrated by the equation |45 5 18 22| = |5

Question

Which property of determinants is illustrated by the equation |45 5 18 22| = |5 5 2 22|? If every entry of an n times n matrix is multiplied by a constant c, then the determinant of the matrix is multiplied by c. If a single row or a single column of an n times n matrix is multiplied by a constant c. then the determinant of the matrix is multiplied by c. If a single row 01 a single column of an n times n matrix is multiplied by a constant c. then the determinant of the matrix is multiplied by If every entry of an n*n matrix is multiplied by a constant c, then the determinant of the matrix is multiplied by lf c times one row is added to another row of an n times n matrix, the determinant of the matrix multiplied by c.

Explanation / Answer

according to properties of determinant

If we multiply a row or coloumn of matrix A by a number, the determinant of A will be multiplied by the same number

hence, property b is correct

since , 9 is being multiplied by 1st row of the matrix

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