Matrix

​MATRIX

​1) Matrix is a rectangular array or table of number, symbols, or expressions that are arrenged in rows and columns.

​2) = entity / element

i=row ; j=column

Exp:

​a

​ij

​a32 means that it have 3 rows and 2 column

​MATRIX

​3) Transpose

​Exp:

​MATRIX

​4) Type of Matrices

• Zero matrix

  -All entries are zero

• Diagonal matrix

  -The term of the main diagonal are all

  zero

​MATRIX

• Scalar matrix

  -All diagonal elements are

  equal

• Identity matrix

  -All diagonal elements are equal

  to 1

​MATRIX

​5) Determinant

Formula:

|A|=ad-bc

Exp:

​MATRIX

​6) Matrix addition 7) Matrix subtraction

Exp:

Multiple Choice

$$A_{32}\ equal\ to$$

Fill in the Blanks

The transpose of the matrix is denoted by using the letter “_” in the superscript of the given matrix.

The letter is ?

Multiple Choice

Which of the following is not scalar matrix ?

Multiple Choice

What is the Diagonal matrix ?

• The terms off the

  main diagonal are all zero

• All diagonal

  elements are equal.

• All entries are zero

• All diagonal

  elements are equal to 1

Fill in the Blanks

Fill in the Blanks

Find the value of y