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
Answers
Answered by
3
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
]
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