Class 11 Mathematics · Chapter 4 · Test 3
Matrices and Determinants 3
49 MCQs This set covers elementary row operations, triangular and echelon forms, rank, and consistent and inconsistent systems of linear equations.
49 questions · 40 min · 49 marks
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Sample questions
The first 5 of 49. Try each one, then tap to see the answer.
Question 1
Which is NOT an elementary row operation?
- AInterchanging two rows
- BMultiplying a row by a non-zero number
- CAdding a multiple of one row to another
- DMultiplying a row by zero
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Answer: D
The multiplier must be non-zero.
Question 2
Ri <-> Rj means
- AInterchanging Ri and Rj
- BMultiplying Ri by Rj
- CAdding Ri and Rj
- DDeleting Ri
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Answer: A
This is the notation for interchanging two rows.
Question 3
The notation kRi -> Ri means
- AInterchanging rows
- BMultiplying Ri by k
- CAdding k to Ri
- DDividing Ri by Ri
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Answer: B
Row i is multiplied by the non-zero number k.
Question 4
Ri + kRj -> Ri means
- AInterchanging Ri and Rj
- BMultiplying Ri by k
- CAdding k times Rj to Ri
- DReplacing Rj with Ri
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Answer: C
A multiple of one row is added to another row.
Question 5
A square matrix is upper triangular if
- Aaij=0 for i>j
- Baij=0 for i<j
- Caij=0 for i=j
- Daij=1 for i=j
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Answer: A
All entries below the principal diagonal are zero.
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