symmetric and skew symmetric matrices

1. A square matrix A is said to be skew-symmetric if A ' = -A. 2. The diagonal elements of a skew-symmetric matrix are all ze..

A square matrix A = [a i j ] is said to be skew-symmetric if the (i,j) t h element of A is the negative of the (j,i) t h element of A i.e., if a i j = -a j i for all i, j. In particular, for i = j, we have Thus the diagonal elements of a skew symmetric ma..

Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a ..

>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A square A = [a i j ]..

A square matrix A = [a i j ] is said to be symmetric if its (i,j) t h element is the same as its (j,i) t h element. i.e a i j = a j i " i, j A square matrix A is said to be symmetric, if A = A ..

Any expression f( a , b ) involving two numbers a and b is said to be symmetric if it remains unchanged when a and b are interchanged. [i.e. if f( a , b ) = f( b , a )..

A relation R, on a set A, is symmetric if aRb then bRa if a 'is related to' b, b 'is related to' a for a, b R. Also if (a, b) R then (b, a) R For example, (i) If D ABC 'is congruent to' D XYZ, then D XYZ 'is congruent to' D ABC. (ii) If Mary 'is the sister of' Lucy, then..

Is the figure symmetric about the line? => Yes or No..

Which triangle is symmetrical about the bisector of any of its angles? => equilateral or isosceles or scalene or right angled..

Which group has all symmetrical letters? => Group 1 or Group 3 or Group 4 or Group 2..