4 element theory

A = {3, 4, 5, 6}, B = {6, 4, 3, 5} A = B Elements in both sets need not be of same orde..

Let A be a matrix of order mxn. Let B be a matrix of order nxp. Then the product of the matrices A and B is of order mxp. i.e., when we multiply two matrices the number of columns of the first matrix should be equal to the number of rows of the second matrix. Two matrices can be multiplied by usin..

1. A matrix is a rectangular array of numbers, arranged in rows and columns. 2. Order of a matrix = Number of rows in it x Number of columns in it 3. Row matrix is a matrix with only one row. 4. Column matrix is a matrix with only one column. 5. Zero or Null ..

Equality of Matrices - Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = ..

Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there are infinite number of real numb..

>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| Step 2: If |A| = 0, inve..

Question: For the given sequence, find the first four terms. Answer: ..

Question: Express the following sets in set builder form. (i) Set A consists of the letters p, q, r, s and t (ii) Set C = {1,3,5,7,....} (iii) Set D = {8} Answer: ..

The last term in L.H.S of (ii) and (iii)will depend on the fact as to whether n is even or od..

For the third term, take coefficient as n C 2 , power of 'a' as n-2 and power of 'b' as 2. Continue this process repeatedly till the last term n C n a 0 b n is obtained..