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..
Which of the following represents the equation in words 676 = 26?
Which of the following represents the equation in words 6 7 6 = 26? => The square root of 676 is - 26. or The positive square root of 676 is 26. or Square of 26 is 676. or The negative square root of 676 is 26...
Write the equation in words ± 81 = ± 9.
Write the equation in words ± 8 1 = ± 9. => The positive square root of 81 is 9. or The positive and negative square roots of 81 are 9 and - 9. or The positive and negative squares of 9 are 81 and - 81. or The negative square root of 81 is - 9...
Express equation as a disjunction using the word 'or': |b + 5| = 9
Express equation as a disjunction using the word 'or': | b + 5| = 9 => b = - 9 or b = - 14 or b = 4 or b = 9 or b = - 4 or b = - 14 or b = 4 or b = - 14..
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 a number less than 12 or 12 times a number..
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 a number divided by 7 or 7 less than n..
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