Exercise 1.2 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- From the following matrices, identify unit matrices, row matrices, column matrices and null matrices.
Solution:
Let’s identify the unit matrices, row matrices, column matrices, and null matrices from the given matrices:
A = [[0, 0], [0, 0]]
B = [2 3 4]
C = [[4], [0], [6]]
D = [[1, 0], [0, 1]]
E = [0]
F = [[5], [6], [7]]
Unit Matrices:
A unit matrix, also known as an identity matrix, is a square matrix with ones on the main diagonal (from the top-left to the bottom-right) and zeros everywhere else.
D = [[1, 0], [0, 1]] is the unit matrix.
Row Matrices:
A row matrix is a matrix with a single row and multiple columns.
B = [2 3 4] is a row matrix.
E = [0] is also a row matrix.
Column Matrices:
A column matrix is a matrix with a single column and multiple rows.
C = [[4], [0], [6]] is a column matrix.
F = [[5], [6], [7]] is also a column matrix.
Null Matrices:
A null matrix is a matrix where all elements are zeros.
A = [[0, 0], [0, 0]] is a null matrix.
E = [0] is also a null matrix.
To summarize:
Unit Matrix: D
Row Matrices: B, E
Column Matrices: C, F
Null Matrices: A, E