The matrix A = \left[ {\begin{array}{*{20}{c}} 1&2&3 \end{array}} \right] is a _________ matrix.

• A) null
• B) row
• C) column
• D) singular

If $A = \left[ {\begin{array}{*{20}{c}} 1&2 \\ 2&0 \end{array}} \right]$ and $B = \left[ {\begin{array}{*{20}{c}} 1&{ - 1} \\ 1&1 \end{array}} \right]$ then $A-B$ will be _________.

• A) $\left[ {\begin{array}{*{20}{c}} 0&3 \\ 1&{ - 1} \end{array}} \right]$
• B) $\left[ {\begin{array}{*{20}{c}} 2&1 \\ 1&3 \end{array}} \right]$
• C) $\left[ {\begin{array}{*{20}{c}} 2&{ - 1} \\ 3&1 \end{array}} \right]$
• D) $\left[ {\begin{array}{*{20}{c}} 1&2 \\ 3&4 \end{array}} \right]$

\({\text{Is }}\,\,\frac{{\text{2}}} {4}\,\,{\text{proportional to }}\frac{{\text{3}}} {{15}}? \)

• A) No
• B) Yes
• C)
• D)

\[ \begin{array}{l} Dimension\,\,of\,\,matrix\,\,A\,\,is\,\,3*3\,\,\,and\,\,Dimension\,\,of\,\,matrix\,\,B\,\,is\,\,3*2\,\,\,. \\\ Find\,\,the\,\,Dimension\,\,of\,\,AB\,\,\, = \,\,\,\,\, - - - - - . \\\ \end{array} \]

• A) \[ 3*3 \]
• B) \[ 2*2 \]
• C) \[ 3*2 \]
• D) \[ None\,\,of\,\,these \]

\({\rm{The \,addition \,of\, }}A = \left[ {\begin{array}{*{20}{c}} { - 7}&{16}\\ 9&{ - 21} \end{array}} \right]\;{\rm{and\,\, }}B = \left[ {\begin{array}{*{20}{c}} {10}&{ - 22}\\ { - 9}&{21} \end{array}} \right]{\rm{ is\, \_\_\_\_\_\_\_\_\_\_}}{\rm{.}}\)

• A) \(\left[ {\begin{array}{*{20}{c}} { - 13}&{ - 38}\\ {18}&{42} \end{array}} \right]\)
• B) \(\left[ {\begin{array}{*{20}{c}} { - 70}&{ - 352}\\ { - 81}&{ - 441} \end{array}} \right]\)
• C) \(\left[ {\begin{array}{*{20}{c}} 3&{ - 6}\\ 0&0 \end{array}} \right]\;\)
• D) \(\left[ {\begin{array}{*{20}{c}} { - 3}&6\\ 0&0 \end{array}} \right]\)

{\text{If you buy}}100{\text{ shares at Rs}}{\text{. }}62.50{\text{ per share with a }}2\% {\text{ commission then the total cost is }}\_\_\_\_\_\_\_\_\_\_\_\_\_.\,

• A) {\text{Rs}}{\text{. }}6250\;
• B) {\text{Rs}}{\text{. }}6350\;
• C) {\text{Rs}}{\text{. }}6275\;
• D) {\text{Rs}}{\text{. }}6375\;

\begin{array}{l} A\,\,\,{\rm{chartered bank is increasing the interest rate on its loans from 7\% to 9\% }} \\\ {\rm{What will be the percent increase in the interest rate on a given balance?}} \\\ \end{array}

• A) 28.57\%
• B) - 22.2\%
• C) 22.2\%
• D) None\,\,of\,\,these

\[ \begin{array}{l} A\,\,\,{\rm{chartered bank is increasing the interest rate on its loans from 7\% to 9\% }} \\\ {\rm{What will be the percent increase in the interest rate on a given balance?}} \\\ \end{array} \]

• A) \[ None\,\,of\,\,these \]
• B) \[ 22.2\% \]
• C) \[ 28.57\% \]
• D) \[ - 22.2\% \]

\({\text{If}}\,\,\,\frac{1} {2} = \frac{x} {3}\,\,\,{\text{then}}\,\,\,x = \_\_\_\_\_\_\_\_\_. \)

• A) \(\frac{3} {2} \)
• B) \( \frac{1} {2} \)
• C) \(\frac{1} {6} \)
• D) \(\frac{2} {3} \)

If $A = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ - 1 \hfill \\ \end{gathered} \end{array}} \right]$ and $k=-3$ then $kA$ will be _________.

• A) $\left[ {\begin{array}{*{20}{c}} \begin{gathered} - 6 \hfill \\ - 3 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ - 6 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ 3 \hfill \\ \end{gathered} \end{array}} \right]$
• B) $\left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ - 3 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ - 6 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 3 \hfill \\ \end{gathered} \end{array}} \right]$
• C) $\left[ {\begin{array}{*{20}{c}} \begin{gathered} 6 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 6 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 6 \hfill \\ - 1 \hfill \\ \end{gathered} \end{array}} \right]$
• D) $\left[ {\begin{array}{*{20}{c}} \begin{gathered} - 6 \hfill \\ - 3 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ - 6 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ - 3 \hfill \\ \end{gathered} \end{array}} \right]$

\({\text{The formula of discount factor for }}n{\text{ periods is __________.}}\)

• A) \(\frac{{(1 + \frac{1}{{{{(1 + i)}^n}}})}}{{i + 1}}\)
• B) \(\frac{{(1 - \frac{1}{{{{(1 + i)}^n}}})}}{{i }}\)
• C) \(\frac{{(1 - \frac{1}{{{{(1 + i)}^n}}})}}{{i -1}}\)
• D) \(\frac{{(1 - {{(1 + i)}^{ n}})}}{i}\)

{\text{The formula used for finding accumulated factor }} S {\text{ of an annuity is given by: }} S= {\text{_________}}{\text{.}}

• A) \frac{{r({{(1 + i)}^n} - 1)}}{i^2+1}
• B) \frac{{r({{(1 + i)}^n} - 1)}}{i}
• C) \frac{{r({{(1 + i)}^n} - 1)}}{i-1}
• D) \frac{{r({{(1 + i)}^n} + 1)}}{i}

\({\text{A matrix is a rectangular array of }}\_\_\_\_\_\_\_\_\_\_\_\_\_.\)

• A) symbols
• B) numbers
• C) palces
• D) objects

If $A = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 0 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 0 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 0 \hfill \\ \end{gathered} \end{array}} \right]$ and $B = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]$ then $A-B$ will be _________.

• A) \[\left[ {\begin{array}{*{20}{c}} \begin{gathered} 1 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]\]
• B) \[\left[ {\begin{array}{*{20}{c}} \begin{gathered} 0 \hfill \\ - 1 \hfill \\ \end{gathered} &\begin{gathered} 0 \hfill \\ - 1 \hfill \\ \end{gathered} &\begin{gathered} 0 \hfill \\ - 1 \hfill \\ \end{gathered} \end{array}} \right]\]
• C) \[\left[ {\begin{array}{*{20}{c}} \begin{gathered} 0 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 0 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 0 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]\]
• D) \[\left[ {\begin{array}{*{20}{c}} \begin{gathered} 1 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 2 \hfill \\ \end{gathered} \end{array}} \right]\]

Let A be an l×m matrix and B be an m×n matrix, then the dimension of the product matrix AB will be equal to __________.

• A) l×m
• B) m×m
• C) m×n
• D) l×n

What is the order of the matrix $A = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 1 \hfill \\ 3 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 4 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 0 \hfill \\ \end{gathered} \end{array}} \right]$?

• A) \( 3×3\)
• B) \(2×3 \)
• C) \(3×2 \)
• D) \( 2×2\)

If $A = \left[ {\begin{array}{*{20}{c}} 1&2 \\ 2&0 \end{array}} \right]$ and $B = \left[ {\begin{array}{*{20}{c}} 1&{ - 1} \\ 1&1 \end{array}} \right]$ then $A+B$ = ____________.

• A) \[ \left[ {\begin{array}{*{20}{c}} 1&2 \\ 3&4 \end{array}} \right]\]
• B) \[\left[ {\begin{array}{*{20}{c}} 2&{ - 1} \\ 3&1 \end{array}} \right]\]
• C) \[\left[ {\begin{array}{*{20}{c}} 2&1 \\ 1&3 \end{array}} \right]\]
• D) \[\left[ {\begin{array}{*{20}{c}} 2&1 \\ 3&1 \end{array}} \right]\]

Two matrices A and B are said to be confirmable for multiplication if __________.

• A) the number of rows in matrix A is equal to the number of columns in matrix B
• B) the number of columns in matrix A is equal to the number of columns in matrix B
• C) the number of columns in matrix A is equal to the number of rows in matrix B
• D) the number of rows in matrix A is equal to the number of rows in matrix B

\({\text{If}}\,\frac{8}{9} = \frac{y}{{108}},\,\,{\text{then}}\,y = \_\_\_\_\_\_\_\_\_\_\_\_\_.\,\)

• A) \(144\)
• B) \(96\)
• C) \(72\)
• D) \(81\)

A matrix with dimension n×m, is said to be a square matrix if ________.

• A) n \ne m
• B) n < m
• C) n > m
• D) n=m