Using the concept of solving system of linear equations from its matrix form I solve the problem .
help! I need help with this linear algebra question I had got incorrect. Please explain why...
I don't understand how to get the answer for this question. (1) Consider a CONSISTENT system(defined over R) of 7 linear equations in 5 variables. If the definitely true? rank of the coefficient matrix is 4, which of the following statements is A. no solution B. a unique solution C. infinitely many solutions with three free variables D. infinitely many solutions with one free variable E. either no solution or infinitely solutions (1) Consider a CONSISTENT system(defined over R) of...
1. Consider the following augmented matrix of a system of linear equations: [1 1 -2 2 3 1 2 -2 2 3 0 0 1 -1 3 . The system has 0 0 -1 2 -3 a) a unique solution b) no solutions c) infinitely many solutions with one free variable d) infinitely many solutions with two variables e) infinitely many solutions with three variables
linear algebra 1 2. Let A be the 3 x 3 matrix: A= 3 3 0 -4 1-3 5 1 (a) Find det(A) by hand. (b) What can you say about the solution(s) to the linear system Az = ? A. No Solutions B. Unique Solution C. Infinitely Many Solutions (c) Is A invertible?
Linear Algebra. (1) Give three examples of a system of 3 equations with three variables, one with no solutions, one with a unique solutions and one with infinitely many solutions.
Can you please fill in the missing boxes Two augmented matrices for two linear systems in the variables x, y, and z are given below The augmented matrices are in reduced row-echelon form. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. O The system has a unique solution. 170 91 o 01 -2 The system has infinitely many solutions. The system has no solution. O The system...
Can you please explain how did you arrive to that answer. thanks For each of the following augmented matrices, decide whether or not the corresponding system has no solution, a unique solution, infinitely many solutions with one parameter or infinitely many solutions with two parameters. -1-2 -1-2 1 -3 4 - H -1-4 -4-2 1 -3 -4 4 1-5 0 -3 -3 -2 0 -4 3 -3 3 0 2 -1 7 2 1 A = B = 0 C...
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x, y, and z as your variables, each representing the columns in turn.)1006010−40013(a) Determine whether the system has a solution.The system has one solution.The system has infinitely many solutions. The system has no solution.(b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your...
Hi im struggling with part (b) and (c) of this linear algebra question. Any help would be greatly apprecated (a) Write down the augmented matrix corresponding to the system of linear equations: + 25 3w W W - + + y y + 1 Na + 4 [2 marks (b) For the remainder of this question the variables v, w, 2, y, and 2 will satisfy a system of linear equations whose augmented matrix is Ab). If the reduced row...
use linear algebra methods to solve only please 2. Find the value(s) of a (if they exist) for which the system of equations has: (a) No solution. (b) One unique solution. (c) Infinitely many solutions. x + y - z = 2 x + 2y + z = 3 2x + y - 4z = a
I need some help with these true false questions for linear algebra: a. If Ais a 4 x 3 matrix with rank 3, then the equation Ax = 0 has a unique solution. T or F? b. If a linear map f: R^n goes to R^n has nullity 0, then it is onto. T or F? c. If V = span{v1, v2, v3,} is a 3-dimensional vector space, then {v1, v2, v3} is a basis for V. T or F?...