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Make-2-3-3-matrices-i-and-j-such-that-i-2-j-j-2-i-ij-1-




Question Number 82101 by legocole last updated on 18/Feb/20
Make 2 3×3 matrices i and j  such that  i^2 =j  j^2 =i  ij=−1
$${Make}\:\mathrm{2}\:\mathrm{3}×\mathrm{3}\:{matrices}\:{i}\:{and}\:{j} \\ $$$${such}\:{that} \\ $$$${i}^{\mathrm{2}} ={j} \\ $$$${j}^{\mathrm{2}} ={i} \\ $$$${ij}=−\mathrm{1} \\ $$
Commented by Kunal12588 last updated on 18/Feb/20
what do you mean from ij=−1  multiplying two 3×3 matrix will give a  3×3 matrix
$${what}\:{do}\:{you}\:{mean}\:{from}\:{ij}=−\mathrm{1} \\ $$$${multiplying}\:{two}\:\mathrm{3}×\mathrm{3}\:{matrix}\:{will}\:{give}\:{a} \\ $$$$\mathrm{3}×\mathrm{3}\:{matrix} \\ $$
Commented by jagoll last updated on 18/Feb/20
i don′t understand this problem
$${i}\:{don}'{t}\:{understand}\:{this}\:{problem} \\ $$

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