Question

(Mid Term, Marks = 2, Lesson No. )

If $A=\left[\begin{array}{cc}2& 1\\ 3& 2\end{array}\right]$ and $B=\left[\begin{array}{c}3\\ 2\end{array}\right]$, then compute AB?

Answer:

Question

(Mid Term, Marks = 2, Lesson No. )

If $A=\left[\begin{array}{c}\begin{array}{cccc}1& 3& 2& 4\\ 2& 4& 1& 3\\ 5& 3& 2& 4\\ 9& 8& 6& 5\end{array}\end{array}\right]$, then make a partition of $B=\left[\begin{array}{cc}2& 1\\ 1& 3\\ 3& 6\\ 4& 5\end{array}\right]$ so that AB must be possible.

Answer:

Question

(Mid Term, Marks = 3, Lesson No. )

If $A=\left[\begin{array}{ccc}2& -4& -3\\ 3& 4& -5\end{array}\right]$ and $B=\left[\begin{array}{ccc}4& -5& -6\\ 2& 7& 10\end{array}\right]$, then calculate $(A+B{)}^t$.

Answer:

Question

(Mid Term, Marks = 3, Lesson No. )

Construct partitions of the following matrix into three 2 × 2 blocks: $$B=\left[\begin{array}{cccccc}1& 2& 3& 4& 1& 3\\ 3& 4& 5& 6& 3& 4\end{array}\right]$$

Answer:

Question

(Mid Term, Marks = 5, Lesson No. )

Show that the transformation $L:R^3\to R^2$ definrd by $L(x,y,z)=(2y+z,x)$ is linear?

Answer:

Question

(Mid Term, Marks = 5, Lesson No. )

Find an LU-decomposition of the matrix $A=\left[\begin{array}{cc}2& 3\\ 5& 7\end{array}\right]$.

Answer:

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