Lesson 1
Matrices and Determinants
Exercise 1
1. Find the matrices A + B, A - 2B from the following
3. Find the matrices A and B where
8. Find the rank of the following matrices
9. Find the Inverse of the following matrices:
10. Solve the following system of equations by Matrix inversion Methodd:
(i) 2x - y + 2z = -8
x + 2y - 3z = 9
3x - y - 4z = 3
(ii) x + 2y - z = 2
3x - 4y + 2 = 1
-x + 3y - z = 3
(iii) 2x - 3y + z = 4
x - y + z = 6
3x + 4y - z = 19
(iv) x + y + z = 4
2x - y + 3z = 1
3x + 2y - z = 1
(v) 2x + y + z = 1
x - y + 2z = -1
3x + 2y - z = 4
(vi) x + 2y + 3z = 2
2x + 4y + 5z = 3
3x + 5y + 6z = 4
11. A Fruit seller buys 10 dozen of mangoes, 12 dozen of apples and 6 dozen of bananas. Mangoes cost Rs. 20 per dozen, Apples Rs. 10 per dozen and Bananas Rs. 8 per dozen. Obtain the total cost by using matrix notation.
Solution;
Let, the total cost is A
∴ Total cost of the fruit is (A) = Rs. 368
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