The system of equations may have a unique solution, an infinite number of solutions, or no solution. use matrices to find the general solution of the system, if a solution exists. (if there is no solution, enter no solution. if there are infinitely many solutions, express your answers in terms of z as in example 3.) 5x + 4y + 5z = −1 x + y + 2z = 1 2x + y − z = −3

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

Firs we find determinant of system of equations

Let a matrix A= and B=

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply and

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Apply

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Apply

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Apply and

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Apply

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Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

answer: 1 + 1 = 11

step-by-step explanation:

i think the answer is d im not sure