KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
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A matrix which is not a square matrix is called a ….. Matrix.
If A=[a_(ij)]_(nxxn) such that a_(ij)=0 , for i nej then , A is …….. (a_(ij)nea_(jj))(ngt1)
Lat A = [a_(ij)]_(3xx 3). If tr is arithmetic mean of elements of rth row and a_(ij )+ a_( jk) + a_(ki)=0 holde for all 1 le i, j, k le 3. Matrix A is
Lat A = [a_(ij)]_(3xx 3). If tr is arithmetic mean of elements of rth row and a_(ij )+ a_( jk) + a_(ki)=0 holde for all 1 le i, j, k le 3. sum_(1lei) sum_(jle3) a _(ij) is not equal to
(A^3)^(-1)=(A^(-1))^3 , where A is a square matrix and |A| ne 0
Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactors of elements of matrix A_(n -1) , then |A_(n)| equals
|adjA|=|A|^2 , where A is a square matrix of order two
Prove by Mathematical Induction that (A)^(n)=(A^(n)) where n inN for any square matrix A.
Find values of a and b if A =B where A=[{:(a+4,3b),(8,-6):}],B=[{:(2a+2,b^(2)+2),(8,b^(2)-5b):}] Hints for solution : In given two square matrix if corresponding elements of each raw and column are equal then both matrix are said to be equal matrix.
For A=[a_(ij)]_(nxxn)'a_(ij)=0,i nej then is a .... matrix . (a_(ii)nea_(ij)),(ngt1)
KUMAR PRAKASHAN-MATRICES -Practice Paper - 3 (Section - D)
