WebbIm learning linear algebra, and im tasked with choosing h and k such that this system: { x 1 + h x 2 = 2 4 x 1 + 8 x 2 = k Has (a) no solution, (b) a unique solution, and (c) many solutions. First i made an augmented matrix, then performed row reduction: [ 1 h 2 4 8 k] ∼ [ 1 h 2 0 8 − 4 h k − 8] Continuing row reduction, i get: WebbFind an equation involving g, h, and k that makes this augmented matrix correspond to a consistent system: ( 1 − 4 7 g 0 3 − 5 h − 2 5 − 9 k). After I do R 3 ← 2 R 1 + R 3 and R 3 ← R 2 + R 3 I end up with. ( 1 − 4 7 g 0 3 − 5 h 0 0 0 2 g + k + h). For this to be a consistent system the third row should be ( 0 0 0 0) , so in ...

Matrix Calculator - Symbolab

WebbCompute the trace of a matrix: tr { {9, -6, 7}, {-9, 4, 0}, {-8, -6, 4}} tr { {a, b}, {c, d}} Row Reduction Reduce a matrix to its reduced row echelon form. Row reduce a matrix: row reduce { {2, 1, 0, -3}, {3, -1, 0, 1}, {1, 4, -2, -5}} row reduction calculator Diagonalization Find the diagonalization of a square matrix. Diagonalize a matrix: WebbAs you can see, the final row of the row reduced matrix consists of 0. This means that for any value of Z, there will be a unique solution of x and y, therefore this system of linear equations has infinite solutions.. Let’s use python and see what answer we get. how do i renew a passport online

Algebra - Augmented Matrices - Lamar University

WebbMath. Calculus. Calculus questions and answers. Write the solution of the linear system corresponding to the reduced augmented matrix. 1 00-5 0 1 0 3 0 0 1 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choke. Question Viewer O A. The unique solution is xy = .X2= and X3 = (Simplify your answers.) B. WebbLearn about matrices using our free math solver with step-by-step solutions. WebbMatrix Solutions to Linear Equations . Augmented matrices can be used as a simplified way of writing a system of linear equations. In an augmented matrix, a vertical line is placed inside the matrix to represent a series of equal signs and dividing the matrix into two sides. Thus, for example, the matrix . would represent the set of linear ... how do i renew an expired passport in florida