Engineering Maths MCQ - Linear Algebra

31 Inverse of the matrix is

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Correct AnswerOption C

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32 The system of equations

2x + 4y = 10,

5x + 10y = 25 has

A
no solution
B
only one solution
C
only two solutions
D
infinite solutions

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Correct AnswerOption D

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33 For the following set of simulataneous equations:
1.5x - 0.5y = 2
4x + 2y + 3z = 9
7x+ y + 5z = 10

A
solution is unique
B
infinitely many solutions exist
C
equations are incompatible
D
finite number of multiple solutions exists

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Correct AnswerOption A

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By solving the equations, we will get x=178/11 , y=49/11 and z= -237/11. So the answer is 'A

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34 If matrix A is m x n and B is nx p, then number of multiplication operations and addition operations needed to calculate the matrix AB, respectively are

A
mn²p,mpn
B
mpn,(n-1)
C
mpn,mpn
D
mn²p, (m+p)n

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Correct AnswerOption B

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35 Determinant of the matrix

Determinant of the matrix is

A
-76
B
-28
C
+28
D
+72

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=5(20-30) - 3(10-18) + 2(5-6)

= -50 + 24 - 2

= -28

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