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

If x = 341.25 + 0.025 x then the value of x is _____________.

• A) 450
• B) 250
• C) 150
• D) 350

The multiplicative inverse of 1/100 is equal to _____________.

• A) 50
• B) 25
• C) 100
• D) 75

\({\rm{If}}\,{\rm{ }}\,X = \left[ {\begin{array}{*{20}{c}} 5\\ { - 3} \end{array}} \right]{\rm{ and }}\,Y = \left[ {\begin{array}{*{20}{c}} 9&{11} \end{array}} \right]{\rm{ then}}\,\;XY = \_\_\_\_\_\_\_\_\_\_.\)

• A) \(\left[ {\,78\,} \right]\)
• B) \(\left[ {\begin{array}{*{20}{c}} {14}&8 \end{array}} \right]\)
• C) \(\left[ {\begin{array}{*{20}{c}} {45}\\ { - 33} \end{array}} \right]\)
• D) \(\left[ {\,12\,} \right]\)

What is the order of the matrix $A = \left[ {\begin{array}{*{20}{c}} 1&6 \end{array}} \right]$?

• A) \( 2×1\)
• B) \( 1×1\)
• C) \( 2×2\)
• D) \(1×2 \)

\({\text{If}}\,P = {\text{Rs}}{\text{.}}\,\,500,T = 4\,{\text{years and }}R = 11\% \,{\text{ then}}\,{\text{the simple interest is }}\_\_\_\_\_\_\_\_\_\_\_\_\_.\)

• A) \({\text{Rs}}{\text{. }}200\)
• B) \({\text{Rs}}{\text{. }}220\)
• C) \({\text{Rs}}{\text{. }}330\)
• D) \({\text{Rs}}{\text{. }}320\)

\[{\text{The }}\,\,{\text{algebraic }}\,\,{\text{expression}},\,\,{x^2} + xy - 6{y^2}{\text{, }}\,\,{\text{is }}\,\,{\text{an }}\,\,{\text{example }}\,\,{\text{of}}\,\,\_\_\_\_\_\_\_\_.\]

• A) \[{\text{Both trinomial and polynomial}}\]
• B) \[{\text{Both Binomial and polynomial}}\]
• C) \[{\text{Binomial}}\]
• D) \[{\text{Trinomial}}\]

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}} 1 \\ 1 \\ 1 \end{array}} \right] then the matrix AB wil be ______________.

• A) \left[ {\begin{array}{*{20}{c}} 2&2&2 \end{array}} \right]
• B) \left[ {\begin{array}{*{20}{c}} 6 \\ 0 \end{array}} \right]
• C) \left[ 2 \right]
• D) \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]

{\text{If }}i = 5\% {\text{ and }}n = 10{\text{, then the accumulation factor AF is equal to __________}}{\text{.}}

• A) 11.85
• B) 11.58
• C) 12.58
• D) 12.85

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