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Non-commutativity of multiplication of matrices, Zero matrix as the product of two non zero matrices
A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of:
(a) Rs 1,800 (b) Rs 2,000
Which of the given values of x and y make the following pair of matrices equal
`[(3x+7, 5),(y+1, 2-3x)] = [(0,y-2),(8,4)]`
(A) `x= (-1)/3, y = 7`
(B) Not possible to find
(C) `y = 7, x = (-2)/3`
(D) `x = (-1)/3, y = (-2)/3`