CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Manish Lekhwar
CBSE CLASS XII
Q. 25. Express the matrix 
as the sum of symmetric and skew symmetric matrix.
Q. 26. If A = 
, verify that A2 – 4A – 5I = 0
Q. 27. A contractor gets his supply of building materials from three firms A, B and C. He receives 35 truck load of stones and 14 truck load of sand from A, 30 truck load of stones and 8 truck load of sand from B and 29 truck load of stones and 9 truck load of sand from C. The stones cost Rs 1000 per truck and sand Rs 300 per truck. Using matrix multiplication find the amount received by each firm from the contractor.
[Ans. Rs 39200, Rs 32400 and Rs 31700]
Q. 28. Tarun wants to invest Rs 30000 in two different types of bonds paying 5% p.a. and7%p.a. Using matrix multiplication find how much amount should he invest in each type ofbond to earn an annual interest of Rs 2000.
[Ans. Rs 5000 in 5%, Rs 25000 in 7%]
Q. 29.
If A = 
Find A’, B’ and (A + B)’. Is (A + B)’ = A’ + B’?
Q. 30.
If A = 
verify (AB)’ = B’.A’.
Q. 31.
If A = 
prove by mathematical induction that 
Q. 32.
If A = 
prove by mathematical induction that 
Q. 33.
If X = 
prove by mathematical induction that 
Paper By Mr. Manish Lekhwar
Email Id :[email protected]
