BITSAT Mathematics Matrices MCQs

Question: If R (t) =  then R(s) R(t) equals

• a) R (s + t)
• b) R (s – t)
• c) R(s) + R(t)
• d) None of these

Answer: R (s + t)

Question: If  is square root of identity matrix of order 2 then –

• a) 1 + α² + βγ = 0
• b) 1 + α² – βγ = 0
• c) 1 – α² + βγ = 0
• d) α² + βγ = 1

Answer: α² + βγ = 1

Question: If the trace of the matrix

is 0, then x is equal to

• a) –2, 3
• b) 2, –3
• c) –3, 2
• d) 3, –2

Answer: –3, 2

Question: The matrix A² + 4A – 5I, where I is identity matrix and  equals

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If A = and B =and A + B – D = 0 (zero matrix), then D matrix will be

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If A and B are 2 × 2 matrices, then which of the following is true ?

• a) (A + B)² = A² + B² + 2AB
• b) (A - B)² = A² + B² - 2AB
• c) (A - B)(A + B) = A² + AB- BA - B²
• d) (A - B)(A + B) = A² - B²

Answer: (A - B)(A + B) = A² + AB- BA - B²

Question: If A = then element a₂₁ of A² is

• a) 22
• b) – 15
• c) – 10
• d) 7

Answer: – 15

Question: If   and then 5A – 3B + 2C is equal to

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If then A² – 4A =

• a) 3I
• b) 4I
• c) 5I
• d) None of these

Answer: 5I

Question: If  and then value of α for which A² = B, is

• a) 1
• b) -1
• c) 4
• d) No real values

Answer: No real values