Question

105
43. There are two families A and B. In family A there are 4 men, 6 women and 2 children and in family
B there are 2 men, 2 women and 4 children. The recommended daily amount of calories is 2400 for
men, 1900 for women, 1800 for children and 45 gram of protein for men, 55 grams for women and
33 grams for children. Represent the above information using matrices. By matrix multiplication,
calculate the total requirement of calories and proteins for each of the two families.
A trust fund has 50,000 that is to be invested in two types of bonds. The first and second bonds
respectively pay annual interest at the rate of 5% and 6%. Using matrix multiplication, determine
how to invest the money in these bonds so as to get a total annual interest of 2780.
44.
4.4
Symmetric and Skew Symmetric Matrix:
Definition (Symmetric matrix): A matrix which is equal to its transpose, is a symmetric
matrix.
Obviously, for a symmatric matrix A= [a,1, a, a, for alli and j.
Corollary:
A symmetric matrix is necessarily a square matrix.
For if A=A' and A is of order mx n then A' is of order nx m and
A=A' m=n so that that A and A' are both square matrices.
So the above definition is in the best possible form.​

Answer 1

Answer:

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