Question

rezolvati ecuatia matriceala a x b = b unde b = (0,1,2020,-1)

Answer 1

Răspuns:

Explicație pas cu pas:

$\left(\begin{array}{ccc}x&y\\z&t\\\end{array}\right)\cdot \left(\begin{array}{ccc}0&1\\2020&-1\\\end{array}\right)=\left(\begin{array}{ccc}0&1\\2020&-1\\\end{array}\right)$

$\left(\begin{array}{ccc}2020y&x-y\\2020t&z-t\\\end{array}\right)=\left(\begin{array}{ccc}0&1\\2020&-1\\\end{array}\right)$

y=0

x=1

t=1

z=0

$a=\left(\begin{array}{ccc}1&0\\0&1\\\end{array}\right)$

Answer 2

$\it B=\begin{pmatrix}0&1\\ \\ 2020&-1\endpmatrix}\\ \\ \\ A\times B=B \Rightarrow A=I_2$