h =3Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.4-7 h김미-8 14 6

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Answered: = 3 Determine the value of h such that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The system of linear equations of three variables is known: X + 2y + z =6 X + 3y + 2z = 9 2x + y + 2z = 12 Determine the values of x, y, z using elimination, substitution and the inverse matrix
How do you find the matrix coefficient with the points: (2, 4), (3, 1), (5, 2)?
please add a lot of expl
a) Use the inverse of a matrix to solve the linear system: X1 - X2 - x3 = 5 X2 + X3 = -1 . (X1-2x2-X3 2аз 2 2a2 2a1 ja1 a2 аз b, - a1 b) Let b1 b2 b3 -4. Find | b3 C3 b2 - a2 |c3 + 3b3 C2 + 3b2 C1 + 3b1 аз | |C1 C2
A system of linear equations can be described in a matrix equation Ax = b_with -2 41 T-2 A = |1 13 x = |y| and b = |-5| 5] -3 1 7 a. Find the inverse of matrix A. [10] b. Solve the matrix equation by using the inverse matrix of matrix A (a). [10] c. Find an LU factorization of matrix A. [15] d. Solve the matrix equation by using the LU factorization of matrix A (c). [15]
Which of the following statements are true? Remember that a mathematical statement is said to be true if it is always true, under all circumstances. VA. The solution set of a linear system whose augmented matrix is aj az az | 6 is the same as the solution set of Ах — b, if A — [ај ар аз |- V B. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution. VC. If A is an m × n matrix and if the equation Ax = b is inconsistent for some b in R", then A cannot have a pivot in every row. D. The equation Ax = b is referred to as a vector equation. VE. If the augmented matrix A | b] has a pivot position in every row, then the equation Ax = b is inconsistent. O F. The first entry in the product Ax is a sum of products.
How to answer?
Consider the matrix below as the augmented matrix of a linear system: SKIP h -2 For which value(s) of h is the linear system corresponding to this augmented matrix consistent? Write your answer in one of the following forms: • h = ... (orh = h = ... etc.) • h+ ... (or h+ ..., h+ ... etc.) • all h • no h. (Type \neq to get the sign.)

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= 3 Determine the value of h such that the matrix is the augmented matrix of a consistent linear system. 미 4 -7 14