Ppt on matrices
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The document discusses the existence of non-zero matrices whose product results in a zero matrix and introduces elementary row and column operations. It explains the uniqueness of matrix inverses and defines matrix order as m × n. Additionally, it covers basic operations such as matrix addition, differences, and multiplication conditions.
![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.](https://image.slidesharecdn.com/pptonmatrices-200913053739/85/Ppt-on-matrices-26-320.jpg)
Ppt on matrices
- 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.
- 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).
- 7. a11 a13 a22
- 18. I2 I3
- 19. 1)Addition of matrices 2)Differences of matrices
- 20. 3)Multiplication of a matrix by a scalar
- 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.