Advertisements
Advertisements
Question
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A – B)2 = A2 – 2A . B + B2
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Laws of algebra for factorization and expansion are not applicable to matrices.
APPEARS IN
RELATED QUESTIONS
Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – C
Wherever possible, write the following as a single matrix.
`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`
Classify the following matrix :
`|(1 , 1),(0,9)|`
If A = `[(1,2), (1,3)]`, find A2 - 3A
Solve the equation x + y = 4 and 2x - y = 5 using the method of reduction.
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" - "j")^2)/(5 - "i")`
Event A: Order of matrix A is 3 × 5.
Event B: Order of matrix B is 5 × 3.
Event C: Order of matrix C is 3 × 3.
Product of which two matrices gives a square matrix.
