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Examine the consistency of the system of equations in Exercises 1 to 6.$$\begin{array}{l}x+y+z=1 \\2 x+3 y+2 z=2 \\a x+a y+2 a z=4\end{array}$$

Algebra

Chapter 4

Determinants

Section 6

Adjoint and Inverse of a Matrix

Introduction to Matrices

Missouri State University

Harvey Mudd College

Idaho State University

Lectures

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Find the complete solution…

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Solve each system of equat…

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Solve the system of equati…

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For the following exercise…

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Determine whether the give…

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Solve each system. See Exa…

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Solve the system of linear…

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in the question we have to tell whether the government set of equation is consistent or not hear. The question that is expressed Y plus Z equals to one two weeks plus three by plus two said equals to two and a X plus A by plus twice off. Is that is it was twofold. Now moving towards this solution on seeing the equation, This equation can be written in the form of the X equals to be Where a. is the metrics with the element 111 232 A to A. And B. is the metrics with the element 1-4 and X is the matrix with element X. Y is said. So they've given or this equation? Sorry. The situation can be written as a matrix which is 11123 to a two way into the X matrix X. Why? He said as equals to the remote creeks 1 to 4. No, we will be finding the determinant for the tracks. So determinant of a matrix will be equivalent to a, which is not equal to zero. So the given system of the questions comes out to me consists and thank you.

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