Determinant

Q. $\left|\begin{array}{cc}x& 3\\ 7& 7\end{array}\right|=21$
Find the value of x?

1. 6
2. 7
3. 2
4. 13

Q.

How do you find the Determinant of a Square Matrix?

Q. Find the value of the determinant.

$A=\left|\begin{array}{cc}3& -1\\ -5& 4\end{array}\right|=$

1. 7
2. -11
3. 17

Q. Find the value of the determinant
$\left|\begin{array}{cc}2& 5\\ 3& 5\end{array}\right|$

1. 2
2. -5
3. 9
4. -7

Q. $\left|\begin{array}{cc}x& 1\\ 7& 2\end{array}\right|=11$
Find the value of x?

1. 9
2. 4
3. 1
4. 7

Q. Find the value of the determinant.

$A=\left|\begin{array}{cc}7& -1\\ -2& 4\end{array}\right|=$

1. 30
2. 26
3. -10
4. 1

Q. Find the value of the determinant
$\left|\begin{array}{cc}4& 3\\ 2& 4\end{array}\right|$

1. 7
2. 10
3. 6
4. 4

Q. Find the value of the determinant.

$A=\left|\begin{array}{cc}1& -3\\ 5& 7\end{array}\right|$

1. 24
2. 25
3. 22
4. 20

Q. $\left|\begin{array}{cc}x& 4\\ 2& 1\end{array}\right|=2$
Find the value of x?

1. 10
2. 11
3. 5
4. 9

Q. $\left|\begin{array}{cc}x& 1\\ 2& 6\end{array}\right|=46$
Find the value of x?

1. $x=4$
2. $x=7$
3. $x=\frac{7}{2}$
4. $x=8$

Q. $\left|\begin{array}{cc}2x& 7\\ 3& 1\end{array}\right|=23$
Find the value of x?

1. 4
2. 3
3. 7
4. 1

Q. $\left|\begin{array}{cc}x& 2\\ 5& 6\end{array}\right|=14$
Find the value of x?

1. 10
2. 2
3. 0
4. 4

Q. Following questions contains statements given in two columns, which have to be matched. The statements in $Column-I$ are labelled as A, B, C and D while the statements in $Column-II$ are labelled as 1, 2, 3 and 4. Any given statement in $Column-I$ can have correct matching with $ONE$ statement in $Column-II$.

Q.

Value of the determinant $\left|\begin{array}{ccc}1& 3& 5\\ 3& 4& 5\\ 0& 2& 3\end{array}\right|is$___

Q. Question 16
If D $(\frac{-1}{2},\frac{5}{2})$, E (7, 3) and F $(\frac{7}{2},\frac{7}{2})$ are the mid-points of sides of $\Delta ABC$, then find the area of the $\Delta ABC$.

Q. For which of the following matrices it is possible to find a determinant?

1. $\left[\begin{array}{cccc}1& 2& 3& 4\\ 5& 6& 7& 8\\ 9& 10& 11& 2\end{array}\right]$
2. $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right]$
3. $None$
4. $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$