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If , then is equal to:

Mathematics20211 markMCQ
If $A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$, then $A^2$ is equal to:
  • (a)$\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$
  • (b)$\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$
  • (c)$\begin{pmatrix} 1 & 0 \\ 1 & 0 \end{pmatrix}$
  • (d)$\begin{pmatrix} 0 & 0 \\ 1 & 1 \end{pmatrix}$

Answer

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Matrices

From ISC 2021 Specimen Mathematics Paper 1, question 1(v).