ICSE Class X Math 2013 Solved Paper

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Question : 1
Total: 46
SECTION - I

Given A=[
2−6
20
]
,B=[
−32
40
]
,
C=[
40
02
]
.
Find the matrix X such that A+2X=2B+ C.
Solution:  
Given A=[
2−6
20
]
,B=[
−32
40
]
,
C=[
40
02
]
.
∵‌‌A+2X=2B+C
Putting the given values, we get
[
2−6
20
]
+2X
‌
=2[
−32
40
]
+[
40
02
]

2X‌=[
−6+44+0
8+00+2
]
−[
2−6
20
]

X‌=‌
1
2
[
−410
62
]

X‌=[
−25
31
]
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