6 element of theory z

Using matrix method solve the following systems of linear equations 2x - y + z = -3 3x - z = - 8 2x + 6y ..

Using matrix method, solve the following system of linear equations x + y + z = 6 (1) x + 2y + 3z = 14 (2) x + 4y + 7z = 30 ..

= (14 - 12) - (7 - 3) + (4 - 2) = 2 - 4 + 2 = 0 The system may have infinite number of solutions or no solution. Put x = k in (1) and (2) and solve y + z = 6 - k 2y + 3z = 14 - k. Solving the above two equations, we have z = k + 2 and y = 4 - 2k When x..

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..

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 = 6...

A matrix is defined as a rectangular array of elements. If the arrangement has m rows and n columns, then the matrix is of order mxn (read as m by n). A matrix is enclosed by a pair of parameters such as ( ) or [ ]. It is denoted by a capital letter. Two matrices are said to be compa..

). 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 x 3 + h..

Factorise using factor theorem. a) 2x 2 +x-3 b) 5x 2 +6x..

Question: The 50 t h term of an AP is 90 and 90 t h term is 50. Find the 140 t h term. Answer: If t n = m and t m = n then t m + n = 0 OR a = first term, d = common difference Subtracting (ii) from (i) 40d = -40 = 90 + 90d \ 140 t h term is zero..

Question: Answer: We know that the (r + 1) t h term of (x + a) n is given by ..