math words for signs


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Summary
>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 +..
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 7
Question: Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Find the number of words which have atleast one letter repeated. Answer: Total number of 5 letter words from given 10 letters = 10 5 (if ..
Examples:
From the two examples it is seen that the signs of the terms of a GP must either be all alike or alternatively positive and negative. Note that the numbers in continued proportion are in GP, i.e.,..
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 ..
Matrices and Determinants
>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 +..
Signs of Trigonometric Ratios
Allied angles in different quadrants..
Signs of Trigonometric Ratios
i) The numerical values of sin q and cos q cannot be greater than 1. ii) The numerical values of sec q and cosec q can never be less than 1. iii) There is no restriction on the values of tan q and cot q since they can take any valu..
What should be the sign of the integers, if the product of the two int..
What should be the sign of the integers, if the product of the two integers is positive? => Either both the integers should be positive or both negative. or Multiplier is positive and multiplicand is negative. or Multiplier is negative and multiplicand is positive. or None of the above..
Which question can be answered by writing a word or words?
Which question can be answered by writing a word or words? => How many of the pets you have are male? or Which color do you like the most? or How many times did you visit your aunt this month? or How many math problems have you completed yesterday?..
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