Question types

Matrices question types

20 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

20
Questions
4
Question groups
5
Question types
Sample Questions

Matrices questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Find value of $x$ in equation $\left[\begin{array}{c}x+y+z \\ x+z \\ y+z\end{array}\right]=\left[\begin{array}{l}9 \\ 5 \\ 7\end{array}\right]$
  • A
    3
  • B
    4
  • C
    5
  • 2

Answer: D.

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If $A=\left[\begin{array}{cc}2 & -3 \\ -1 & 2\end{array}\right]$ and $B=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right]$ two matrix, then find AB ?
  • $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
  • B
    $\left[\begin{array}{ll}0 & 1 \\ 0 & 0\end{array}\right]$
  • C
    $\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
  • D
    $\left[\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right]$

Answer: A.

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If $\left[\begin{array}{cc}3 c+6 & a-d \\ a+d & 2-3 b\end{array}\right]=\left[\begin{array}{cc}12 & 2 \\ -8 & -4\end{array}\right]$ then find $a b-c d$ :
  • 4
  • B
    16
  • C
    -4
  • D
    -16

Answer: A.

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Q 73 Marks3 Marks
In $\left[\begin{array}{cc}x+y & 2 \\ 5+z & x y\end{array}\right]=\left[\begin{array}{ll}6 & 2 \\ 5 & 8\end{array}\right]$ find the value of $x, y, z$ ?
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Q 84 Marks4 Marks
A and B has two families. Family A has 4 male, 6 female and 2 children and family B has 2 male, 2 female and 4 children. Every male, female and children has suggested to give respectively 2400, 1900 and 1800 calories per day and 45,55 and 33 gm. protein also. From this informa tion prepare a matrix. Using multiplication of matrix, find the total quantity of calorie and protein for every family.
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