Recent questions tagged ch3

Compute the indicated products: $(iii)\;\begin{bmatrix}1 & -2\\2 & 3\end{bmatrix}\begin{bmatrix}1 & 2 & 3\\2 & 3 & 1\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Compute the indicated products: $(ii)\;\begin{bmatrix}1\\2\\3\end{bmatrix}\begin{bmatrix}2 & 3 & 4\end{bmatrix} $

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Compute the indicated products: $(i)\;\begin{bmatrix}a & b\\-b & a\end{bmatrix}\begin{bmatrix}a &-b\\b & a\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Compute the following $ (iv)\;\begin{bmatrix}\cos^2x & \sin^2x\\ \sin^2x & \cos^2x\end{bmatrix}+\begin{bmatrix}\sin^2x & \cos^2x\\ \cos^2x & \sin^2x\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Compute the following $ (iii)\;\begin{bmatrix}-1 & 4 & -6\\8 & 5 &16\\2 & 8 &5\end{bmatrix}+\begin{bmatrix}12 & 7 & 6\\8 & 0 & 5\\3 & 2 & 4\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Compute the following $(i)\;\begin{bmatrix}a & b\\-b & a\end{bmatrix}+\begin{bmatrix}a & b\\b & a\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $ (v)\;BA\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $ AB\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $ 3A-C$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$ Find: $(ii) (A-B)\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $\;A+B\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations: $(iii)\;\begin{bmatrix}x+y+z\\x+z\\y+z\end{bmatrix}=\begin{bmatrix}9\\5\\7\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations:$ (ii)\;\begin{bmatrix}x+y & z\\5+z & xy\end{bmatrix}=\begin{bmatrix}6 & 2\\5 & 8\end{bmatrix}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations:$(i)\begin{bmatrix}4 & 3\\x & 5\end{bmatrix}=\begin{bmatrix}y & z\\1 & 5\end{bmatrix}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a 3 x 4 matrix,whose elements are given by:$(i)\;a_{ij}=\frac{1}{2}| -3i+j\;| \qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by:$ (ii) a_{ij}=\frac{i}{j}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a $2 \times 2$ matrix, $A=[a_{ij}],$whose elements are given by: $a_{ij}=\frac{(i+j)^2}{2}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 5 elements,what are the possible orders can it have?

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 18 elements,what are the possible orders it can have?

asked Feb 27, 2013 by balaji.thirumalai

1 answer

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

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 24 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

1 answer

In the matrix $A=\begin{bmatrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt 3 & 1 & -5& 17\end{bmatrix},$ write the elements $\;a_{13},a_{21},a_{33},a_{24},a_{23}$ \[\]

asked Feb 27, 2013 by balaji.thirumalai

1 answer

In the matrix $A=\begin{bmatrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt 3 & 1 & -5& 17\end{bmatrix},$ write The number of elements

asked Feb 27, 2013 by balaji.thirumalai

1 answer

In the matrix $A=\begin{bmatrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt 3 & 1 & -5& 17\end{bmatrix},$ write The order of the matrix.

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If $A=\begin{bmatrix}\alpha & \beta\\\gamma & -\alpha\end{bmatrix}$ is such that $A^2=I,$ then which of the following is true:

asked Feb 19, 2013 by sreemathi.v

1 answer

If matrix A = (1,2,3), write AA' where A' is the transpose of matrix A.

asked Feb 17, 2013 by thanvigandhi_1

1 answer

If $ \begin{bmatrix} x+3y & y \\ 7-x & 4 \end{bmatrix}=\begin{bmatrix} 4 & -1 \\ 0 & 4 \end{bmatrix} $, find the values of x and y.

asked Feb 15, 2013 by thanvigandhi_1

1 answer

If $ \begin{bmatrix} 2x & 5 \\ 8 & x \end{bmatrix}=\begin{bmatrix} 6 & 5 \\ 8 & 3 \end{bmatrix} $, then find x.

asked Feb 15, 2013 by thanvigandhi_1

1 answer

Using elementary transformations, find the inverse of the following matrix : $ \begin{bmatrix} 2 & -1 & 4 \\ 4 & 0 & 2 \\ 3 & -2 & 7 \end{bmatrix} $

asked Feb 11, 2013 by thanvigandhi_1

1 answer

Find the value of x and y if $ 2\begin{bmatrix} 1 & 3 \\ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \\ 1 & 2 \end{bmatrix} =\begin{bmatrix} 5 & 6 \\ 1 & 8 \end{bmatrix} $

asked Feb 11, 2013 by thanvigandhi_1

1 answer

If $A = \begin{bmatrix} -1 \\ 2 \\ 3 \end{bmatrix} \: and \: B = \begin{bmatrix} -2 & -1 & -4 \end{bmatrix} $verify that $ (AB)^T=B^TA^T $

asked Feb 9, 2013 by thanvigandhi_1

1 answer

Find the value of x: $\begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} = \begin{bmatrix} x & 3 \\ 2x & 5 \end{bmatrix}$

asked Feb 9, 2013 by thanvigandhi_1

1 answer

If $\begin{bmatrix} 15 & x+y \\ 2 & y \end{bmatrix} = \begin{bmatrix} 15 & 8 \\ x-y & 3 \end{bmatrix} $find the value of x and y

asked Feb 9, 2013 by thanvigandhi_1

1 answer

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

asked Feb 8, 2013 by thanvigandhi_1

1 answer

Find the value of x if $ \begin{bmatrix} x & 2 \\ 18 & x \end{bmatrix} = \begin{bmatrix} 6 & 2 \\ 18 & 6 \end{bmatrix}$

asked Feb 8, 2013 by thanvigandhi_1

1 answer

Solve for x : $ \begin{bmatrix} 1 - x & 1 \end{bmatrix} \begin{bmatrix} 2 & -1 \\ 1 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ 3 \end{bmatrix} = 0 $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

Find the value of x if $ \begin{bmatrix} 2 & 4 \\ 5 & 1 \end{bmatrix} = \begin{bmatrix} 2x & 4 \\ 6 & x \end{bmatrix} $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

Obtain the inverse of the following matrix using elementary operation $A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{bmatrix} $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

Construct a 2 x 2 matrix $ A = [ a_{ij} ]$, whose elements are given by $ a_{ij} $ is $ \large\frac{( \hat i + \hat j )^2}{2} $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

Find the value of x from the following : $\begin{bmatrix} 2x-y & 5 \\ 3 & y \end{bmatrix} = \begin{bmatrix} 6 & 5 \\ 3 & -2 \end{bmatrix} $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

Express the following matrix as the sum of a symmetric (B) and skew symmetric matrix (C) $\begin{bmatrix} 3 & -2 & -4 \\ 3 & -2 & -5 \\ -1 & 1 & 2 \end{bmatrix} $

asked Feb 6, 2013 by thanvigandhi_1

1 answer

Obtain the inverse of the following matrix, using elementary operations $ A = \begin{bmatrix} 3 & 0 & -1 \\ 2 & 3 & 0 \\ 0 & 4 & 1 \end{bmatrix} $

asked Feb 6, 2013 by thanvigandhi_1

1 answer

Write the order of the product matrix : $ \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \begin{bmatrix} 2 & 3 & 4 \end{bmatrix} $

asked Feb 6, 2013 by thanvigandhi_1

1 answer

Using elementary transformations, find the inverse of the matrix : $ \begin{bmatrix} 2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3 \end{bmatrix} $

asked Feb 5, 2013 by thanvigandhi_1

1 answer

Use product of AB where $A= \begin{bmatrix} 1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4 \end{bmatrix} \; and \;B=\begin{bmatrix} -2 & 0 & 1 \\ 9 & 2 & -3 \\ 6 & 1 & -2 \end{bmatrix}$ <br> to solve the system of equations : $ \\ x-y+2z=1 \\ 2y-3z=1 \\ 3x-2y+4z=2 $

asked Feb 5, 2013 by thanvigandhi_1

1 answer

If a matrix has 5 elements, write all possible orders it can have.

asked Feb 5, 2013 by thanvigandhi_1

1 answer

For a 2 x 2 matrix, A = $ [a_{ij} ], $ whose elements are given by $ a_{ij}=\large\frac{i}{j},$ write the value of $ a_{12}.$

asked Feb 4, 2013 by thanvigandhi_1

1 answer

Using elementary transformations, find the inverse of the matrix $\begin{bmatrix} 1 & 3 & -2 \\ -3 & 0 & -1 \\ 2 & 1 & 0 \end{bmatrix} $

asked Feb 4, 2013 by thanvigandhi_1

1 answer

Find the value of y, if $\begin{bmatrix} x-y & 2 \\ x & 5 \end{bmatrix} = \begin{bmatrix} 2 & 2 \\ 3 & 5 \end{bmatrix} $

asked Feb 4, 2013 by thanvigandhi_1

1 answer

Using elements transformation find the inverse of $ \begin{bmatrix} 2 & -6 \\ 1 & -2 \end{bmatrix} $

asked Feb 4, 2013 by thanvigandhi_1

1 answer

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