1.1 Definition of Matrices

Based on our previous class, what is matrix?

• rectangular arrangement of 𝒎×𝒏, in m columns and n rows.

• rectangular arrangement of 𝒎×𝒏, in m rows and n columns.

• rectangular arrangement of 𝒎×𝒏, in m columns and n rows, and enclosed with a bracket.

• rectangular arrangement of 𝒎×𝒏, in m rows and n columns, and enclosed with a bracket.

Answer explanation

A rectangular arrangement of 𝒎×𝒏 numbers, in m rows and n columns and enclosed within a bracket.

In the class, the word "Rosmah Cantik" is referred to

• R - Rose, C - Corus

• R - Rows, C - Cars

• R - Rows, C - Columns

• R - Rosmah, C - Columns

Answer explanation

R is for Rows, and C is for Columns. "Rosmah Cantik" is the term used to remember the sequence of reading a dimension of matrices. R dulu baru S yaaa...

The diagram is refer to matric B. What is the element of B₁₂?

• 9

• 5

• 3

• 8

Answer explanation

B₁₂ is refer to element row 1 and column 2. Based on the diagram, the element of B₁₂ is 5.

What is the dimension of the matric?

• 2 x 3

• 3 x 2

• 2 x 2

• 3 x 3

Answer explanation

Remember Rosmah Cantik. Count the number of rows first then columns. There are 2 rows and 3 columns. So the dimension of the matric is 2 by 3 or 2 x 3.

What is another term for dimension?

• entries

• element

• 3-Dimension

• order

Answer explanation

Haha... the other nickname for dimension is order. Order teh tarik 1...

What is a null matrix?

• A diagonal matrix having all the diagonal elements equal to 1.

• A square matrix, all of whose elements except those in the leading diagonal are zero

• A matrix having a single row

• A matrix having all elements zero.

Answer explanation

A null matrix or zero matrix is a matrix having all elements zero.

What is triangular matrix?

• A matrix with triangular shape

• A matrix with single rows

• A square matrix, in which all the elements below (or above) the leading diagonal are zero.

• A square matrix having all the diagonal elements equal to each other.

Answer explanation

A triangular matrix is a square matrix in which all the elements below or above the leading diagonal are zero. Just like the picture.

Matrix P and B are equal matrices. What is the value of s and r?

• s = 3, r = 22

• s = 2, r =22

• s = 2, r = 4

• s = 3, r = 4

Answer explanation

s + 1 = 3, then, s = 3 - 1 = 2, while

r - 13 = 9, then, r = 9 + 13 = 22. Then the answer is B.

What is the transpose matrix of K or K^T?

• 
• 
• 

Answer explanation

The answer is A. The transpose of a matrix is simply a flipped version of the original matrix.