Which of the following matrices will not have a determinant?

1.	Which of the following matrices will not have a determinant?
A.	( begin{bmatrix}4&2 5&4 end{bmatrix} )
B.	( begin{bmatrix}1&5&4 3&6&2 4&8&7 end{bmatrix} )
C.	( begin{bmatrix}5&8&9 3&4&6 end{bmatrix} )
D.	( begin{bmatrix}1&2 5&4 end{bmatrix} )
Answer» D. ( begin{bmatrix}1&2 5&4 end{bmatrix} )

Discussion

Evaluate ( begin{vmatrix}5&0&5 1&4&3 0&8&6 end{vmatrix} ).
Find the determinant of the matrix A= ( begin{bmatrix}-cos &-tan cot &cos end{bmatrix} ).
Find the determinant of the matrix A= ( begin{bmatrix}9&8 7&6 end{bmatrix} )
Which of the following matrices will not have a determinant?
Find the value of x, if ( begin{vmatrix}1&-1 3&-5 end{vmatrix} )= ( begin{vmatrix}x&x^2 3&5 end{vmatrix} ).
Find the value of x, if ( begin{vmatrix}2&5 3&x end{vmatrix} )= ( begin{vmatrix}x&-1 5&3 end{vmatrix} ).
Evaluate ( begin{vmatrix}sin ,y&0&sin ,y cos ,y&1&cos ,x sin ,y&1&sin ,y end{vmatrix} )
Evaluate |A|<sup>2</sup>-5|A|+1, if A= ( begin{bmatrix}7&4 5&5 end{bmatrix} )
Evaluate ( begin{vmatrix}1&0&1 0&0&1 1&0&1 end{vmatrix} ).
Evaluate ( begin{vmatrix}3&-1&3 6&-5&4 3&-2&3 end{vmatrix} )