two step equations math

The system of linear equations may be expressed as AX = B. Step 2: Find |A|. If |A| 0, the system has unique solution which is given by X = A - 1 B. Step 3: If |A| = 0, put x = k (y = k or z = k) in any two of the given equations and find ..

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 b..

Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and ..

Let H be the harmonic mean between the quantities a and b. ..

Question: A lady wants to select one cotton saree and one polyster saree from a collection of 8 cotton sarees and 11 polyster sarees. In how many ways can the lady choose the two sarees? Answer: Here, there are two events E 1 and E 2 . E 1 = Selection of ..

Question: vi) (n! + 1) is not divisible by any natural number between 2 and n. vii) Simplify Answer: ..

Question: A sportsteam of 11 students is to be constituted choosing at least 5 from class XI and 5 at least from XII. If there are 20 students in each of these classes, in how many ways can the team be constituted? Answer: Number of students in each class is 20. Total number of selec..

C(n,0) = C(n,n) =..

We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solutio..