Question

solve the following matrices ​

Answer 1

Answer:

• Value of x is 6.

Step-by-step explanation:

We have :-

=> A = $\pmb{\bf{\left[\begin{array}{ccc}2&x\\0&1\\\end{array}\right] }}$

=> B = $\pmb{\bf{\left[\begin{array}{ccc}4&36\\0&1\\\end{array}\right] }}$

• A² = B

To find :-

=> Value of x.

Solution :-

>> A² = B

=> $\pmb{\bf{\left[\begin{array}{ccc}2&x\\0&1\\\end{array}\right]^2 }}$= $\pmb{\bf{\left[\begin{array}{ccc}4&36\\0&1\\\end{array}\right] }}$

=> $\pmb{\bf{\left[\begin{array}{ccc}(2)^2&(x)^2\\(0)^2&(1)^2\\\end{array}\right] }}$ = $\pmb{\bf{\left[\begin{array}{ccc}4&36\\0&1\\\end{array}\right] }}$

=> $\pmb{\bf{\left[\begin{array}{ccc}4&(x)^2\\0&1\\\end{array}\right] }}$ =  $\pmb{\bf{\left[\begin{array}{ccc}4&36\\0&1\\\end{array}\right] }}$

>> Corresponding elements of equal matrices are equal.

=> $\pmb{\bf{\left[\begin{array}{ccc}4&(x)^2\\0&1\\\end{array}\right] }}$ =  $\pmb{\bf{\left[\begin{array}{ccc}4&36\\0&1\\\end{array}\right] }}$

=> x² = 36

=> x = √36

∴ x = 6

>> Hence, the value of x is 6.

Answer 2

Answer is in the attachment ⤴️

Step-by-step explanation:

please mark it Brainliest answer