Example:
A = {3, 4, 5, 6}, B = {6, 4, 3, 5} A = B Elements in both sets need not be of same orde..
Multiplication of Matrices
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..
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..Summary
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 ..
Operations on Matrices
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 = ..
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 = ..Summary
>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..
>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..Multiplication of Matrices
). If A be a matrix of the order m x n and B be a matrix of the order n x q, then A and B can be multiplied and the product will be a matrix of order m x q. then Elements of rows of matrix A are multiplied by the corresponding elements of columns of B and we get AB. = [5..
Question 5
Question: Find the first four terms of the sequence 4 + 5n. Which term of the sequence is 99? Answer: When n = 1, t 1 = 4+5(1) = 9. When n = 2, t 2 = 4+5(2) = 14 When n = 3, t 3 = 4+5(3) = 19. When n = 4, t 4 = 4+5(4) = 24 \ The ..
Question: Find the first four terms of the sequence 4 + 5n. Which term of the sequence is 99? Answer: When n = 1, t 1 = 4+5(1) = 9. When n = 2, t 2 = 4+5(2) = 14 When n = 3, t 3 = 4+5(3) = 19. When n = 4, t 4 = 4+5(4) = 24 \ The ..Question 5
Question: When a rational number can be expressed as terminating decimal? Answer: A rational number can be expressed as terminating decimal, when the factors of its denominator are in the form 2 n x 5 ..
Question 5
Question: For given sequence, find the first four terms. Answer: ..
Question: For given sequence, find the first four terms. Answer: ..Example 5:
If (x-2) and (x-3) are factors of x 3 +ax 2 +bx+12, find a and ..
Result
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