Combinations problems and word problems
Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..
Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..Properties of Inverse of Matrix
In other words, a square matrix A is invertible if and only if A is a non-singular matrix. (c) If A and B are invertible square matrices, then (AB) - 1 = B - 1 A - 1 (d) If A and B are two non-singular square matrices of the same order, then AB and BA are also non-singular matr..
In other words, a square matrix A is invertible if and only if A is a non-singular matrix. (c) If A and B are invertible square matrices, then (AB) - 1 = B - 1 A - 1 (d) If A and B are two non-singular square matrices of the same order, then AB and BA are also non-singular matr..Identity or Unit Matrix
A square matrix A=[a i j ] n x n is called an identity or unit matrix if (2) a i j =1 for all i = j In other words a square matrix each of whose diagonal elements is unity and each of whose non-diagonal elements is equal to zero is called an identity or unit matrix. The identity ..
A square matrix A=[a i j ] n x n is called an identity or unit matrix if (2) a i j =1 for all i = j In other words a square matrix each of whose diagonal elements is unity and each of whose non-diagonal elements is equal to zero is called an identity or unit matrix. The identity ..Summary
[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..
[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..Find the number of arrangements of the letters of the word MATH.
Find the number of arrangements of the letters of the word MATH. => 12 or 24 or 9 or 10..
Write the inequality, z5> 30, as a word sentence.
Write the inequality, z 5 > 30, as a word sentence. => Carol has z candies. She divided equally among 5 children. Each child got 30 candies. or Carol has z candies. She divided them equally among 5 children. Each child got less than 30 candies. or Mary has z candies. She divided them e..
Express the inequality 25x> 120, as a word sentence. Let x represen..
Express the inequality 25 x > 120, as a word sentence. Let x represent the number. => The sum of 25 and a number is greater than 120 or The product of 25 and a number is less than 120 or The product of 25 and a number is greater than 120 or The sum of 25 and a number is less than 120 o..
Identify a word phrase for the expression x - 12.
Identify a word phrase for the expression x - 12. => sum of a number and 12 or a number less than 12 or the difference between a number and 12 or 12 times a number..
Identify a word phrase for the expression x - 12.
Identify a word phrase for the expression x - 12. => sum of a number and 12 or the difference between a number and 12 or 12 times a number or a number less than 12..
Identify a word phrase for the expression n + 7.
Identify a word phrase for the expression n + 7. => add a number and 7 or 7 times a number or 7 less than n or a number divided by 7..
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