Column Matrix

Q. Find the values of $a,b,c$ and $d$ from the following equation: $\left[\begin{array}{cc}2a+b& a-2b\\ 5c-d& 4c+3d\end{array}\right]=\left[\begin{array}{cc}4& -3\\ 11& 24\end{array}\right]$

Q.

Which of the following is an orthogonal matrix

1. 

2. 

3. 

4. 

Q. hwo to multiply two matrices?

Q.

[5]is a scalar matrix of order

1. 1

2. 2

3. 5

4. 0

Q. Find the values of $x,y$ and $z$ form the following equations
$\left(i\right)$ $\left[\begin{array}{cc}4& 3\\ x& 5\end{array}\right]=\left[\begin{array}{cc}y& z\\ 1& 5\end{array}\right]$
$\left(ii\right)$ $\left[\begin{array}{cc}x+y& 2\\ 5+z& xy\end{array}\right]=\left[\begin{array}{cc}6& 2\\ 5& 8\end{array}\right]$
$\left(iii\right)$ $\left[\begin{array}{c}x+y+z\\ x+z\\ y+z\end{array}\right]=\left[\begin{array}{c}9\\ 5\\ 7\end{array}\right]$

Q.

Where is a matrix used in real life?

Q. If $\left[\begin{array}{ccc}x+3& z+4& 2y-7\\ -6& a-1& 0\\ b-3& -21& 0\end{array}\right]=\left[\begin{array}{ccc}0& 6& 3y-2\\ -6& -3& 2c+2\\ 2b+4& -21& 0\end{array}\right]$, then the value of $a$ is:

1. $-1$
2. $-2$
3. $1$
4. $2$

Q.

The order of a column matrix can be

1. 2 $\times$ 2

2. 1 $\times$ 2

3. 3 $\times$ 1

4. 3 $\times$ 2

Q. does a matrix and its transpose same

Q. Find x and y if $\left[\begin{array}{cc}2x& x\\ y& 3y\end{array}\right]\left[\begin{array}{c}3\\ 2\end{array}\right]=\left[\begin{array}{c}16\\ 9\end{array}\right]$

Q.

A matrix is a representation of numbers or objects in a rectangular array of rows and columns.

1. False

2. True

Q. How to solve a matrix in Gauss Jordan method?

Q. Find the value of $x$ if,

$\left[\begin{array}{cc}3x+y& -y\\ 2y-x& 3\end{array}\right]=\left[\begin{array}{cc}1& 2\\ -5& 3\end{array}\right].$

Q.

Which of the following relation(s) is true regarding the adjoint of a matrix?

1. 

2. (Adj A)^T = Adj (A)^T

3. Adj (kA) = k^n-1. AdjA

4. A. (Adj A) – (Adj A). A

Q.

The order of a column matrix can be

1. 2 $\times$ 2

2. 1 $\times$ 2

3. 3 $\times$ 2

4. 3 $\times$ 1

Q. $\left|\begin{array}{ccc}1& -1& 2\\ 3& 0& 2\\ 1& 0& 2\end{array}\right|$

Q. 9. If the adjoint of a 3*3 matrix p is (144 217

Q.

The order of a column matrix can be

1. 1 x 2

2. 2 x 2

3. 3 x 1

4. 3 x 2

Q. Which of them will come in last place if all of them are arranged alphabetically as in a dictionary ?
Verbose , Verge , Veritable, Vernacular, Versatile, Versed, Versus

1. Verbose
2. Verge
3. Versus
4. None of these

Q. A matrix consisting of a single column of $m$ elements is know as

1. column matrix
2. row matrix
3. null matrix
4. square matrix

Q.

Which of the following is an orthogonal matrix

1. 

2. 

3. 

4. 

Q. A column matrix has many columns and one row.

1. True
2. False