Recent questions in Matrices

Find the value of $x, y, z$ if the matrix. $\begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix}$ satisfy the equation $A^TA =I_3$

asked Dec 21, 2016 by priyanka.c

1 answer

If $A =\begin{bmatrix} x & -2 \\ 3 & 7 \end{bmatrix}$ and $A^{-1} = \begin{bmatrix} \frac{7}{34} & \frac{1}{17} \\ \frac{3}{34} & \frac{2}{17} \end{bmatrix}$ then find the value of $x$ .

asked Dec 20, 2016 by priyanka.c

1 answer

For what value of $\lambda$ , the matrix $\begin{bmatrix} 1 & \lambda & 0 \\ 3 & -1 & 2 \\ 4 & 1 & 5 \end{bmatrix}$ is singular ?

asked Dec 20, 2016 by priyanka.c

1 answer

Three shopkeepers X,Y and Z go to a store to buy stationery items. X purchases 12 dozen marker pens, 5 dozen ink pen and 6 dozen pencils. Y purchases 10 dozen marker pens, 6 dozen ink pen and 7 dozen pencils. Z purchases 11 dozen marker pens, 13 dozen ink pens and 8 dozen pencils. A marker pen cost Rs 40/- , a pen costs Rs. 7/- and a pencil Rs. 1 /- each. Using matrix multiplication calculate the individual bills of X, Y and Z.

asked Dec 9, 2016 by priyanka.c

1 answer

For what values of $x$ and $y$ are the following matrices equal ? $A = \begin{bmatrix} 2x+1 & 3y \\ 0 & y^2-5y \end{bmatrix} , B = \begin{bmatrix} x+3 & y^2+2 \\ 0 &-6 \end{bmatrix}$

asked Dec 8, 2016 by priyanka.c

1 answer

If A and B are symmetric matrices, prove that AB - BA is a skew symmetric matrix

asked Dec 6, 2016 by priyanka.c

1 answer

If $A = \begin{bmatrix} 1 & \tan x \\ -\tan x & 1 \end{bmatrix}$ , Evaluate $A^TA^{-1}$

asked Dec 1, 2016 by priyanka.c

1 answer

Find the value of x if $\begin{bmatrix} x & -5 & -1 \end{bmatrix} \begin{bmatrix} 1 & 0 & 2 \\ 0 & 2 & 1 \\ 2& 0 & 3 \end{bmatrix} \begin{bmatrix} x \\ 4 \\ 1 \end{bmatrix} = 0$

asked Nov 23, 2016 by priyanka.c

1 answer

Evalute : $\begin{vmatrix}152 & 24 & 40 \\ 3 & 7 & 1 \\ 19 & 3 & 5 \end{vmatrix}$

asked Nov 23, 2016 by priyanka.c

1 answer

Use matrix method to examine if the following system of equation for consistency or inconsistency $4x - 2y = 3, \; \; 6x - 3y = 5$

asked Nov 22, 2016 by priyanka.c

1 answer

Without expanding evaluate: $\begin{vmatrix} \frac{1}{a} & a^2 & bc \\ \frac{1}{b} & b^2 & ca \\ \frac{1}{c} & c^2 & ab \end{vmatrix}$

asked Nov 22, 2016 by priyanka.c

1 answer

Using elementary row transformation, find the inverse of $A = \begin{bmatrix} 2 & -6 \\ 1 & -2\end{bmatrix}$

asked Nov 21, 2016 by priyanka.c

1 answer

Solve the system of equation $2x + 5y = 1 \; \ \; \; and \; \; \; \; 3x + 2y = 7$

asked Nov 20, 2016 by priyanka.c

1 answer

Find X and Y, if $X + Y= \begin{bmatrix} 5 & 2 \\ 0 & 9 \end{bmatrix}$ and $X - Y = \begin{bmatrix} 3 & 6 \\ 0 & -1 \end{bmatrix}$

asked Nov 20, 2016 by priyanka.c

1 answer

If $A = \begin{bmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}$ , then find the value of $\theta$ satisfying the equation $A^T + A = I_2$

asked Nov 20, 2016 by priyanka.c

1 answer

Find the equation of the line joining (1,3) and B (0, 0) using determinants and find K if D (K,0) is a point such that area of $\triangle ABD$ is 3 sq. units

asked Nov 18, 2016 by priyanka.c

1 answer

If $A=\begin{bmatrix} 9 & 1 \\ 7 & 8 \end{bmatrix}$ , $B =\begin{bmatrix} 1 & 5 \\ 7 & 12 \end{bmatrix}$ find matrix C such that 5A + 3B + 2C is a null matrix.

asked Nov 17, 2016 by priyanka.c

1 answer

If $\begin{pmatrix} a+4 &3b \\ 8 & -6 \end{pmatrix} = \begin{pmatrix} 2a+2 &b+2 \\ 8 & a-8b \end{pmatrix}$ , write the value of $a-2b$ .

asked Mar 21, 2014 by balaji

1 answer

The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is?

asked Feb 18, 2014 by balaji.thirumalai

1 answer

If $A=\begin{bmatrix}2 & 3\\5 & -2\end{bmatrix}$ then express $A^{-1}$ in terms of $A$

asked Jan 30, 2014 by rvidyagovindarajan_1

1 answer

Given $A=\begin{bmatrix} 3 & -3 & 4 \\2 & -3 & 4 \\0 & -1 & 1 \end{bmatrix}$ How can we express $A^{-1}$ in terms of A?

asked Jan 29, 2014 by balaji

1 answer