Recent questions tagged ch3

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

Evaluate : $\tan^{-1} (1) + cos^{-1} ( \frac{-1}{2} )+ \sin^{-1} (\frac{-1}{2})$

asked Dec 5, 2016 by priyanka.c

2 answers

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

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

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

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

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

The rate of reaction for A---> products is 10 mol.lit-1.min-1 at time t1=5minutes. what will be the rate at the time t2=10minutes

asked Jul 7, 2015 by excellentdeals18

1 answer

change in hormonal levels during ovulation.

asked Jan 30, 2015 by aradhya.dutta200

1 answer

A feather is dropped on the moon from a height of $1.40\; meters$. The acceleration of gravity on the moon is $1.67 m/s^2$. Determine the time for the feather to fall to the surface of the moon

asked Aug 20, 2014 by meena.p

1 answer

Dhoni throws his bat vertically upwards with an initial velocity of $26.2\;m/s$ Determine the height to which the bat will rise above its initial height.

asked Aug 20, 2014 by meena.p

2 answers

Raju drops a pile of marbles from the top of a roof located $8.52\;m$ above the ground. Determine the time required for the marbles to reach the ground .

asked Aug 19, 2014 by meena.p

1 answer

From the top of a building 40 m tall, a ball a thrown vertically upwards with a velocity of $10\; ms^{-1}$ After how long will the ball hit the ground?

asked Aug 19, 2014 by meena.p

2 answers

A body moving in a straight line covers a distance of $14 m $ in the 5th second and 20 m in the 8th second. How much distance will it cover in the 15th second ?

asked Aug 19, 2014 by meena.p

1 answer

A marble rolls across a flat surface. Its initial speed is 41 m/s but it comes to rest after 10 seconds . Find the acceleration of the marble and the distance traveled by the marble as it comes to rest.

asked Aug 19, 2014 by meena.p

1 answer

A car acceleration from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant rate $\beta$ to come to rest. If t is the total time elapsed , then the maximum velocity attained by the car is

asked Aug 19, 2014 by meena.p

1 answer

An electron starting from rest has a velocity that increases linearly with time i.e $v= kt$ where $k=2\;m\;s^{-2}$. The distance covered in the first 3 second is

asked Aug 19, 2014 by meena.p

1 answer

A steel ball is bouncing up and down on a steel plate with a period of oscillation of 1 second. If $g= 10\;ms^{-2}$, then if bounces up to a height of

asked Aug 19, 2014 by meena.p

1 answer

A body travelling with uniform acceleration crosses two points A and B with velocities $20\;ms^{-1}$ and $30 \;ms^{-1}$ respectively . The speed of the body at the mid-point of A and B is

asked Aug 19, 2014 by meena.p

1 answer

A bus starts from rest with an acceleration of $ 1\;ms^{-2}$ A man who is $48\;m$ behind the bus starts with a uniform velocity of $ 10\;ms^{-1}$. The minimum time after which the man will catch the bus is

asked Aug 19, 2014 by meena.p

1 answer

A stone is allowed to fall from the top of tower 100 metre high and at the same time another stone is projected vertically upwards from the ground with a velocity of $25\;ms^{-1} $. The two stones will meets after

asked Aug 19, 2014 by meena.p

1 answer

The displacement x of a particle at the instant when its velocity is v is given by $ v = \sqrt {3x+16}$ . Its acceleration and initial velocity are

asked Aug 19, 2014 by meena.p

1 answer

The distance through which a body falls in the nth seconds is h. The distance through which it falls in the next seconds is

asked Aug 19, 2014 by meena.p

1 answer

A stone is thrown upwards with velocity v. At half the height, its velocity is

asked Aug 14, 2014 by meena.p

1 answer

A ball is thrown vertically upwards from the top of a tower of height h with velocity v. The ball strikes the ground after

asked Aug 14, 2014 by meena.p

1 answer

A small block slides without friction down an inclined plane starting from rest. Let $S_n$ be the distance travelled from time $t- n-1$ to $t=n$. Then $\large\frac{S_n}{S_{n_1}}$ is

asked Aug 14, 2014 by meena.p

1 answer

A car travelling on a straight road at $15.0$ meter per second accelerates uniformly to a speed of $21.0$ meters per second in $12.0 \;second$. The total distance traveled by the car in this $12.0 $ second time interval is

asked Aug 14, 2014 by meena.p

1 answer

An astronaut standing on a platform on the Moon drops a hammer. If the hammer falls $6.0 $ meters vertically in $2.7 \;seconds$, what is its acceleration ?

asked Aug 14, 2014 by meena.p

1 answer

A dart is thrown at a target that is supported by a wooden backstop. It strikes the backstop with an initial velocity of $350\;m/s$ The dart comes to rest in $0.0050\;s$ What is the acceleration of the dart ?

asked Aug 14, 2014 by meena.p

1 answer

A sailboat acceleration uniformly from $6.0\;m/s$ to $ 8.0 [N]$ at a rate of $0.50\;m/s^2$. What distance does the boat travel ?

asked Aug 13, 2014 by meena.p

1 answer

A sports car approaches a highway on-ramp at a velocity of $20.0\;m/s $ . If the car accelerates at a rate of $3.2 \;m/s^2 $ for $5.0\;s$ , What is the displacement of the car ?

asked Aug 13, 2014 by meena.p

1 answer

A car is moving at a speed $50 \;km /h$ two seconds there it is moving at $60 \;km/h$ Calculate the acceleration of the car.

asked Aug 13, 2014 by meena.p

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A car starts from rest , moves with an acceleration $a$ and then decelerates at $b$ for some time to come to rest. If the total time taken is t, the maximum velocity is

asked Aug 13, 2014 by meena.p

1 answer

A car staring from rest acceleration at the rate $f$ through a distance $S$, then continues at constant speed for time $t$ and then decelerates at rate $\large\frac{f}{2}$ to come to rest. If the total distance covered is $15\;s$ , then

asked Aug 13, 2014 by meena.p

1 answer

The relation between time t and distance $x$ is $t= ax^2+bx$ where a and b are constants . The acceleration is

asked Aug 13, 2014 by meena.p

1 answer

The position of a particle as a function of time is given by equation: $x =2t^3-6t^2+12t+6$. The acceleration of the body is zero at

asked Aug 12, 2014 by meena.p

1 answer

The position of a particle moving along the $x$-axis ($x$ is in $m$) is given by $x = t^3 - 3t^2 + 2t$. Find the average speed of the particle in the interval $t=2\;s \rightarrow t = 4\;s$

asked Aug 12, 2014 by balaji.thirumalai

1 answer