Exercise 1.3 Solution
- Chapter No.1 Introduction to Biology
- Chapter No. 2 Solving a Biological Problem
- Chapter No.3 Biodiversity
- Chapter No.4 Cells and Tissues
- Chapter No.5 Cell Cycle
Q.1- Which of the following matrices are conformable for addition?
Q.2- Find the additive inverse of the following matrices?
A = [[2, 4], [- 2, 1]]
B = [[1, 0, – 1], [2, – 1, 3], [3, – 2, 1]]
c = [[4], [- 2]]
D = [[1, 0], [- 3, – 2], [2, 1]]
E = [[1, 0], [0, 1]]
F = [[sqrt(3), 1], [- 1, sqrt(2)]]
Solution
To find the additive inverse of a matrix, we simply negate all its elements (multiply each element by -1). Let’s find the additive inverses of the given matrices:
A = [[2, 4], [-2, 1]]
Additive Inverse of A = [[-2, -4], [2, -1]]
B = [[1, 0, -1], [2, -1, 3], [3, -2, 1]]
Additive Inverse of B = [[-1, 0, 1], [-2, 1, -3], [-3, 2, -1]]
C = [[4], [-2]]
Additive Inverse of C = [[-4], [2]]
D = [[1, 0], [-3, -2], [2, 1]]
Additive Inverse of D = [[-1, 0], [3, 2], [-2, -1]]
E = [[1, 0], [0, 1]]
Additive Inverse of E = [[-1, 0], [0, -1]]
F = [[sqrt(3), 1], [-1, sqrt(2)]]
Additive Inverse of F = [[-sqrt(3), -1], [1, -sqrt(2)]]
Please note that for matrix F, since it contains square roots, the additive inverse is found by negating each element in the matrix.