Geometrically, why does a homogenous system of two linear equations in three variables have infinitely many solutions? If the system were nonhomogeneous, how many solutions might there be? Explain this geometrically.
Geometrically, why does a homogenous system of two linear equations in three variables have infinitely many...
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.
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
please explain every step. thanks Consider the following system of linear equations ri (a) For what values of r and s is this system of linear equations inconsistent? (b) For what values of and s does this system of linear equations have infinitely many solutions? (ey For what values of and s does this system of linear equations have a unique solution?
Linear Algebra Determine the value of k such that the system of linear equations has infinitely many solutions. x - y + 2z=0 - x + y - z = 0 X + ky + z = 0
Use a system of linear equations with two variables and two equations to solve. A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $11.50, and the price for an adult ticket was $19.00. The register confirms that $9,712.50 was taken in. How many student tickets and adult tickets were sold? student tickets adult tickets
Solving a 2x2 system of linear equations that is inconsistent or... Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. The system has a unique solution: x + 4y - 8 = 0 -x - 4y = 8 (y= 00 The system has infinitely many solutions. They must satisfy the following equation: The system has no solution. x + 4y =...
Could anyone help me with this math problem please.. 1. Recall that a system of linear equations is singular if it has none or infinitely many solutions. Explain why the system u+2w = 0 is singular by finding a combination of the three equations that adds up to 0 = 1. What value should replace the last zero on the right side to allow the equations to have solutions-and what is one of the solutions?
A linear system with fewer equations than unknowns is sometimes called an underde- termined system. Prove that if an underdetermined system has a solution, then it has infinitely many solutions. 7. A linear system with fewer equations than unknowns is sometimes called an underde- termined system. Prove that if an underdetermined system has a infinitely many solutions solution, then it has
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...
Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question. A jar contains 70 nickels and dimes worth $6.20. How many of each kind of coin are in the jar? x = ( ) nickels y = ( ) dimes