Week3W - Math 1313 Section 3.2 Example 6 Solve the system of linear equations using the Gauss-Jordan elimination method y 8z = 9 x 2 y 3z = 3 7 y 5 z =

# Week3W - Math 1313 Section 3.2 Example 6 Solve the system...

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Math 1313 Section 3.2 Example 6:Solve the system of linear equations using the Gauss-Jordan elimination method. 12z5y73z3y2x9z8y=--=+-=-Popper 2: Is the following matrix in row reduced form? ° 0 1 0 0 3 0 0 1 0 3 0 0 0 1 7 0 0 0 0 0 ±
Math 1313 Section 3.2 Infinite Number of Solutions Example 7:The following augmented matrix in row-reduced form is equivalent to the augmented matrix of a certain system of linear equations. Use this result to solve the system of equations. --000025103101Example 8:Solve the system of linear equations using the Gauss-Jordan elimination method. 2
Math 1313 Section 3.2 A System of Equations That Has No Solution In using the Gauss-Jordan elimination method the following equivalent matrix was obtained (note this matrix is not in row-reduced form, let’s see why): - - - 1 0 0 0 1 4 4 0 1 1 1 1 Look at the last row. It reads: 0x + 0y + 0z = -1, in other words, 0 = -1!!! This is never true. So the system is inconsistent and has no solution. Mark D for question 4 Systems with No Solution If there is a row in the augmented matrix containing all zeros to the left of the vertical line and a nonzero entry to the right of the line, then the system of equations has no solution. Example 9: Solve the system of linear equations using the Gauss-Jordan elimination method. 32323=--=+=yxyxyx 2
Math 1313 Section 3.2 Example 10:Solve the system of linear equations using the Gauss-Jordan elimination method. −² + 3³ − 4´ = 124² − 12³ + 16´ = −36 Example 11: Solve the system of linear equations using the Gauss-Jordan elimination method. 2² − 3³ = 13² + ³ = −1² − 4³ = 14Popper 3 : State the number of solutions, if any. µ 1 3 1 a.One Solution b.Infinitely Many Solutions c.No Solution
Math 1313 Section 3.2 Popper 5: State the number of solutions, if any. 2² − ³ + 3´ = 4−6² + 3³ − 9³ = −12 a.One Solution b.Infinitely Many Solutions c.No Solution