# If A is a strictly triangular matrix of order 3 x 3  and $B = diag\begin{bmatrix} 3 &5 &2 \end{bmatrix}$ ; Then |AB|= Option 1) 30 Option 2) 5 Option 3) 0 Option 4) can't be determined

H Himanshu

As we have learned

Strictly triangular matrix -

$a_{ii}= 0$   for   $1\leq i\leq n$

Where $A= \left [ a_{ij} \right ]_{n\times n}$

-

Since diagonal elements of A are 0  and B is a diagonal matrix , If we multiply them we get a matrix with determinant  0 since the first column and last row have all elements = 0

Option 1)

30

Option 2)

5

Option 3)

0

Option 4)

can't be determined

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