Question

f matrix A = 0,2,0,0
and f(x) = 1 + x + x

2 + x

4 + x

8 + x

16, find

f(A).​

Answer 1

Answer:

who is this question

Step-by-step explanation:

not able to understand yrr

Answer 2

Answer:

f(A) =  $\left[\begin{array}{cc}1&2&\\0&1\end{array}\right]$

Step-by-step explanation:

Given Matrix A is:

A  =     $\left[\begin{array}{cc}0&2&\\0&0\end{array}\right]$

$A^{2}$ =    $\left[\begin{array}{cc}0&2&\\0&0\end{array}\right]$   $\left[\begin{array}{cc}0&2&\\0&0\end{array}\right]$        = $\left[\begin{array}{cc}0&0&\\0&0\end{array}\right]$

$A^{3}$= $A^{2}$×$A$=   $\left[\begin{array}{cc}0&2&\\0&0\end{array}\right]$   $\left[\begin{array}{cc}0&0&\\0&0\end{array}\right]$     = $\left[\begin{array}{cc}0&0&\\0&0\end{array}\right]$

Similarly,   $A^{4}$×$A^{6}$×$A^{8}$×$A^{16}$=0

Then, f(x) = $1+x$ +$x^{2}$ + $x^{4}$+ $x^{8}$ + $x^{16}$

Therefore, f(A)=1  +  $\left[\begin{array}{cc}0&2&\\0&0\end{array}\right]$ =  $\left[\begin{array}{cc}1&0&\\0&1\end{array}\right]$ +  $\left[\begin{array}{cc}0&2&\\0&0\end{array}\right]$ = $\left[\begin{array}{cc}1&2&\\0&1\end{array}\right]$

#SPJ3