if 3p+1/3p=2 root 3, evaluate (iii) 81 p^4+1/81p^4
Answers
Answer:
If P=[
2
0
3
−1
1
5
] and Q=[
1
0
2
−1
−6
3
], Evaluate 3P−4Q, if
3P−4Q=[
a
d
b
e
c
f
], find sum of a,b,c,d,e,f
Step-by-step explanation:
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Class 12
>>Maths
>>Matrices
>>Operations on Matrices
>>If P = 2 3 1 | 0 - 1 5 and Q = 1
Question
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If P=[
2
0
3
−1
1
5
] and Q=[
1
0
2
−1
−6
3
], Evaluate 3P−4Q, if
3P−4Q=[
a
d
b
e
c
f
], find sum of a,b,c,d,e,f
Medium
Solution
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Correct option is A)
Since, P=[
2
0
3
−1
1
5
] and Q=[
1
0
2
−1
−6
3
]
∴3P−4Q=3[
2
0
3
−1
1
5
]−4[
1
0
2
−1
−6
3
]
=[
6
0
9
−3
3
15
]−[
4
0
8
−4
−24
12
]
=[
6−4
0−0
9−8
−3+4
3+24
15−12
]
=[
2
0
1
1
27
3
]
Now, 3P−4Q=[
a
d
b
e
c
f
]
⇒[
2
0
1
1
27
3
]=[
a
d
b
e
c
f
]
On comparing both sides, we get
⇒a=2,b=1,c=27
⇒d=0,e=1,f=3
Hence, the answer is a=2,b=1,c=27,d=0,e=1,f=3. and their sum is 34