Question
Mathematics Question on Maxima and Minima
Order of [274310][543] is:
A
(A) 3×1
B
(B) 2×1
C
(C) 2×3
D
(D) 3×3
Answer
(B) 2×1
Explanation
Solution
Explanation:
Given,First matrix =[274310]Number of rows (m1)=2Number of columns (n1)=3So, order of first matrix =2×3And second matrix =[543]Number of rows (m2)=3Number of columns (n2)=1So, order of first matrix =3×1As we know,Multiplication of matrices is possible if Number of column (n1) in the first matrix = Number of rows (m2) in the second matrixi.e., n1=m2∴n1=m2=3So, [274310][543] is possible.As we know,Multiplication of matrices is possible if the order of the new matrix is a row of the first matrix and column of the second matrix.i.e., m1×n2Now, Order of new matrix formed by multiplication =m1×n2=2×1Hence, the correct option is (B).