Question

Help plz & thank you!!

Answer 1

option A

Explanation:

Step 1

X

`x=\left[\begin{array}{ccc}b&a\\4&a\end{array}\right]`

Step 2

2Y

`\left[\begin{array}{ccc}2c&2d\\2a&2b\end{array}\right]`

Step 3

X - 2Y = Z

`2Y=\left[\begin{array}{ccc}b&a\\4&a\end{array}\right]-\left[\begin{array}{ccc}2c&2d\\2a&2b\end{array}\right]=\left[\begin{array}{ccc}a&c\\16&b\end{array}\right]`

Step 4

Four equations are formed

Equation 1

b - 2c = a

Equation 2

a - 2d = c

Equation 3

4 - 2a = 16

-2a = 16 - 4

-2a = 12

a = -6

Equation 4

a -2b = b

-6 - 2b = b

-6 = b + 2b

-6 = 3b

b = -2

Plug values of a and b in equation 1 and 2

b - 2c = a

-2 -2c = -6

-2c = -6 + 2

-2c = -4

c = -4/-2

c = 2

a - 2d = c

-6 -2d = 2

-2d = 2+6

-2d = 8

d = 8/-2

d = -4