squares and square roots mathematics

Adjoint of a Square Matrix - The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj ..

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A square matrix A=[a i j ] n x n is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero. i.e., a i j = 0 for all i ..

>If A, B and C are the matrices which can be multiplied then (a) Matrix multiplication is not commutative, i.e., AB BA (always) (b) Associative law holds good for matrix multiplication, i.e., (AB)C = A(BC) (c) Matrix multiplication is distributive with respect to addition A(B + C) = AB + AC or (A +..

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 matrix are all zero. ..

Find the square root of 36. => 36 or 1,296 or 6 or 72..

Find the square root of 784. => 28 or 13 or 18 or 22..

Since square root of a negative number is not real, we define a function f : R + R such that ..

Find the square root of 81. => 10 or 8 or 11 or 9..

Find the positive square root of 9. => 2 or 3 or 5 or 4..