NIMCET 2017 Question Paper with solutions

Question : 79 of 120

Marks: +1, -0

Find a matrix X such that 2A + B + X = 0,
where A =

[\table -1,2;3,4]

and B =

[\table 3,-2;1,5]

Solution:

2A + B + X = 0
⇒ X = - (2A + B)
= -

(2[\table -1,2;3,4]+[\table 3,-2;1,5])

= -

([\table -2,4;6,8]+[\table 3,-2;1,5])

= -

[\table 1,2;7,13]

[\table -1,-2;-7,-13]

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