Recent questions tagged ch3

Find the real and imaginary parts of the following complex numbers: $\left ( 2+i \right )\left ( 3-2i \right )$

asked Apr 1, 2013 by geethradh

1 answer

Find the real and imaginary parts of the following complex numbers: $\large\frac{2+5i}{4-3i}$

asked Apr 1, 2013 by geethradh

1 answer

Find the real and imaginary parts of the following complex numbers: $\large\frac{1}{1+i}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$: $\large\frac{i^{4}+i^{9}+i^{16}}{3-2i^{8}-i^{10}-i^{15}}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$: $\left ( -3+i \right )\left ( 4-2i \right )$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a+ib$: $\large\frac{\left ( 1+i \right )\left ( 1-2i \right )}{1+3i}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$: $\large\frac{2\left ( i-3 \right )}{\left ( 1+i \right )^{2}}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$: $\frac{2(i-3)}{(1+i)^2}$

asked Apr 1, 2013 by balaji.thirumalai

0 answers

If a matrix has 13 elements.What are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Mar 19, 2013 by sreemathi.v

1 answer

If $\;A=\small\frac{1}{\pi}$$\begin{bmatrix}sin^{-1}(\pi x) &tan^{-1}\big(\frac{\pi}{x}\big)\\ sin^{-1}\big(\frac{\pi}{x} \big)&cot^{-1}(\pi x)\end{bmatrix}\;$ and $\;B=\small\frac{1}{\pi} $$\begin{bmatrix}-cos^{-1}(\pi x) &tan^{-1}\big(\frac{x}{\pi}\big)\\ sin^{-1}\big(\frac{x}{\pi} \big)&-tan^{-1}(\pi x)\end{bmatrix}$ then $A-B$ is equal to

asked Mar 10, 2013 by sreemathi.v

1 answer

If possible,using elementary row transformations,find the inverse of the following matrices $\quad\begin{bmatrix}2 & 0 & -1\\5 & 1 & 0\\0& 1 & 3\end{bmatrix}$

asked Mar 9, 2013 by sreemathi.v

1 answer

If possible,using elementary row transformations,find the inverse of the following matrices $(ii)\quad\begin{bmatrix}2 & 3 & -3\\-1 & -2 & 2\\1& 1 & -1\end{bmatrix}$

asked Mar 9, 2013 by sreemathi.v

1 answer

We can multiply two matrices if and only if which of the following is true?

asked Mar 9, 2013 by balaji.thirumalai

1 answer

If a matrix A is of the order $m$ x $n$. Then what is the order of the matrix kA, where k is a scalar constant?

asked Mar 9, 2013 by balaji.thirumalai

1 answer

If the order of two matrices are equal, then which of the following is true?

asked Mar 9, 2013 by balaji.thirumalai

1 answer

Which of the following is true in a square matrix, given that $m$ is the number of rows and $n$ is the number of columns?

asked Mar 9, 2013 by balaji.thirumalai

1 answer

Which of the following is true about the number of elements in a $m$x$n$ matrix with $m$ rows and $n$ columns?

asked Mar 9, 2013 by balaji.thirumalai

1 answer

If $\begin{bmatrix}xy & 4\\z+6 & x+y\end{bmatrix}=\begin{bmatrix}8 & w \\ 0 & 6\end{bmatrix}$ then find the value of x,y,z and w

asked Mar 7, 2013 by sreemathi.v

1 answer

Find inverse,by elementary row operations(if possible),of the following matrices$(ii)\quad\begin{bmatrix}1 &- 3\\-2 & 6\end{bmatrix}$

asked Mar 7, 2013 by sreemathi.v

1 answer

If $A=\begin{bmatrix}1 & 2\\4 & 1\\5 & 0\end{bmatrix},B=\begin{bmatrix}1 & 2\\6 & 4\\7 & 3\end{bmatrix},then\;verify\;that:(ii)\quad(A-B)'=A'-B'$.

asked Mar 6, 2013 by sreemathi.v

1 answer

$A=\begin{bmatrix}0 & -1 & 2\\4 & 3 & -4\end{bmatrix}\;and\;B=\begin{bmatrix}4 & 0\\1 & 3\\2 & 6\end{bmatrix},then\;verify \;that:(iii)\quad(KA)'=(KA')$

asked Mar 6, 2013 by sreemathi.v

1 answer

$A=\begin{bmatrix}0 & -1 & 2\\4 & 3 & -4\end{bmatrix}\;and\;B=\begin{bmatrix}4 & 0\\1 & 3\\2 & 6\end{bmatrix},then\;verify \;that:(ii)\quad(AB)'=B'A'$

asked Mar 6, 2013 by sreemathi.v

1 answer