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1. existence of non-zero matrices whose
product is the zero matrix.
2. Concept of elementary row and column
operations.
3. Proof of the uniqueness of inverse, if it
exists.
A matrix having m rows and n columns is called a
matrix of order m × n or simply m × n
matrix (read as an m by n matrix).
a11
a13
a22
Equality of matrices
I2
I3
1)Addition of matrices
2)Differences of matrices
3)Multiplication of a matrix by a scalar
The product of two matrices A and B is defined if the
number of columns of A is equal to the number of
rows of B. Let A = [aij] be an m × n matrix and B = [bjk]
be an n × p matrix. Then the product of the matrices A
and B is the matrix C of order m × p.
Ppt on matrices
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Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
Ppt on matrices
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Ppt on matrices

  • 1.
  • 2. 1. existence of non-zero matrices whose product is the zero matrix. 2. Concept of elementary row and column operations. 3. Proof of the uniqueness of inverse, if it exists.
  • 3.
  • 4.
  • 5. A matrix having m rows and n columns is called a matrix of order m × n or simply m × n matrix (read as an m by n matrix).
  • 6.
  • 8.
  • 9.
  • 10.
  • 11.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18. I2 I3
  • 20. 3)Multiplication of a matrix by a scalar
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26. The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. Let A = [aij] be an m × n matrix and B = [bjk] be an n × p matrix. Then the product of the matrices A and B is the matrix C of order m × p.