Question

# Let A=[2432],B=[13−25],C=[−2534]. Find each of the following: (i)A+B (ii)A-B (iii)3A-C (iv)AB (v)BA

Solution

## A+B=[2432]+[13−25]=[2+14+33+(−2)2+5]=[3717] If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix. A−B=[2432]−[13−25]=[2−14−33−(−2)2−5]=[115−3] If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix. 3A−c=3[2432]−[−2534]=[61296]−[−2534]=[6−(−2)12−59−36−4]=[8762] If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix. AB=[2432][13−25]=[2×1+4×(−2)2×3+4×53×1+2×(−2)3×3+2×5]=[−626−119] If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix. BA=[13−25][2432]=[1×2+3×31×4+3×2(−2)×2+5×3(−2)×4+5×2]=[1110112] If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More