Question

Given Matrix A =
4 sin 30
cos o
cos 0
4 sin 30
And B = [4/5]
if Ax=B
مالى
Write the
find the
order of
the Matrix x
find the matrix x​

Answer 1

Step-by-step explanation:

Let X=[

a

b

]

Therefore, [

4sin30

o

cos0

o

cos0

o

4sin30

o

][

a

b

]=[

4

5

]

⇒[

4asin30

o

+bcos0

o

acos0

o

+4bsin30

o

]=[

4

5

]

⇒4asin30

∘

+bcos0

∘

=4⇒4a×

2

1

+b×1=4

⇒2a+b=4 ... (1)

⇒acos0

∘

+4bsin30

∘

=5⇒9×1+4b×

2

1

=5

⇒a+2b=5 ..... (2)

Solving eqs (1) and (2), we get

a=1 and b=2

Hence, X=[

1

2

]