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Exercises for Question Type 5: Finding the inverse of 2x2 matrices - IB | RevisionDojo

IB
Question Type 5: Finding the inverse of 2x2 matrices

Question Type 5: Finding the inverse of 2x2 matrices Exercises

Question 1

Find the inverse of $B = \begin{pmatrix}2&0\\0&5\end{pmatrix}$ .

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Question 2

Type: Long Answer | Level: - | Paper: -

Find the inverse of $A = \begin{pmatrix}1&2\\3&4\end{pmatrix}$ .

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Question 3

This question is about calculating the inverse of a $2 \times 2$ matrix with fractional entries.

Find the inverse of $G = \begin{pmatrix}\frac{1}{2}&\frac{1}{3}\\\frac{1}{4}&\frac{1}{5}\end{pmatrix}$ .

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Question 4

Find the inverse of $K = \begin{pmatrix}5&-1\\-4&2\end{pmatrix}$ .

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Question 5

Find the inverse of $C = \begin{pmatrix}1&1\\1&2\end{pmatrix}$ .

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Question 6

Find the inverse of $M = \begin{pmatrix} 10 & 15 \\ 20 & 25 \end{pmatrix}$ .

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Question 7

A question involving the calculation of the inverse of a $2 \times 2$ matrix.

Find the inverse of $J = \begin{pmatrix}0&1\\-2&3\end{pmatrix}$ .

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Question 8

Find the inverse of $D = \begin{pmatrix} 3 & 5 \\ 2 & 7 \end{pmatrix}$ .

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Question 9

Find the inverse of $F = \begin{pmatrix}4&-3\\2&-5\end{pmatrix}$ .

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Question 10

Find the inverse of $H = \begin{pmatrix}7&2\\5&3\end{pmatrix}$ .

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Question 11

Determine whether the inverse of $L = \begin{pmatrix}2&4\\1&2\end{pmatrix}$ exists. If it does, find it.

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Question 12

Find the inverse of $E = \begin{pmatrix}-1&2\\3&4\end{pmatrix}$ .

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