AIOU SOLVED ASSIGNMENT 2 CODE 1429 BUSINESS MATHEMATICS.
DIFFERENCE BETWEEN RECTANGULAR AND SQUARE MATRICES.
RECTANGULAR MATRIX:- A rectangular matrix is formed by a
different number of rows and columns, and its dimension is noted as : mxn.
Square Matrix is formed by the same number of rows and
columns. The elements of the form aii constitute the principal diagonal. The secondary
diagonal is formed by the elements with i+j = n+1.
Symmetric matrix. If the transpose of a matrix is equal to
itself, that matrix is said to be symmetric.
Note that each of these matrices satisfy the defining
requirement of a symmetric matrix: A=À and B=Ɓ.
Diagonal matrix. A diagonal matrix is a special kind of
symmetric matrix. It is a symmetric matrix with zero’s in the off-diagonal
elements.
Note that the diagonal of a matrix refers to the elements
that run from the upper left corner to the lower right corner
These square matrices play a prominent role in the
application of matrix algebra to real world problems. For example, a scalar
matrix called the identity matrix is critical to the solution of simultaneous
liner equations.
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