Question
If $A=\left[\begin{array}{ccc}4 & 3 & 2 \\ -1 & 2 & 0\end{array}\right], B=\left[\begin{array}{cc}1 & 2 \\ -1 & 0 \\ 1 & -2\end{array}\right]$, show that matrix $A B$ is non singular.
✓
Answer
im
∴ AB is non-singular matrix.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
For each of the following matrices, using its transpose, state whether it is symmetric, skew-symmetric or neither.
→$\left[\begin{array}{ccc}2 & 5 & 1 \\ -5 & 4 & 6 \\ -1 & -6 & 3\end{array}\right]$
If $A=\left[\begin{array}{cc}-3 & 2 \\ 2 & -4\end{array}\right], B=\left[\begin{array}{cc}1 & x \\ y & 0\end{array}\right]$ and $(A+B)(A-B)=A^2-B^2$, find $x$ and $y$.
→Find the range for the following data. 116, 124, 164, 150, 149, 114, 195, 128, 138, 203, 144
Find the values of the determinants : $\left|\begin{array}{cc}2 & -4 \\ 7 & -15\end{array}\right|$
→The following data gives a number of typing mistakes done by Radha during a week. Find the range of the data.
Let $S=$ Set of all positive integers not exceeding 50 ;
Event $ A=$ Set of elements of $S$ that are divisible by 6 ; and
Event $\mathrm{B}=$ Set of elements of $\mathrm{S}$ that are divisible by 9 . Find $A \cup B$
→Event $ A=$ Set of elements of $S$ that are divisible by 6 ; and
Event $\mathrm{B}=$ Set of elements of $\mathrm{S}$ that are divisible by 9 . Find $A \cup B$
If odds in favour of X solving a problem are 4 : 3 and odds against Y solving the same problem are 2 : 3. Find the probability of: (i) X solving the problem
Find the acute angle between lines having slopes 3 and −2.
For each of the following matrices, using its transpose, state whether it is symmetric, skew-symmetric or neither.
→$\left[\begin{array}{ccc}1 & 2 & -5 \\ 2 & -3 & 4 \\ -5 & 4 & 9\end{array}\right]$
Find the slope of each of the lines which passes through the following points: C(- 2,3), D(5, 7)