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- Finding the Determinant of a 2 × 2 Matrix. Find the determinant of the given matrix. A=[ 5 2 −6 3 ] A=[ 5 2 −6 3 ] Solution. det(A)=| 5 2 −6 3 | =5(3)−(−6)(2) =27 det(A)=| 5 2 −6 3 | =5(3)−(−6)(2) =27.
- Using Cramer’s Rule to Solve a 2 × 2 System. Solve the following 2×2 2×2 system using Cramer’s Rule. 12x+3y=15 2x−3y=13 12x+3y=15 2x−3y=13. Solution.
- Finding the Determinant of a 3 × 3 Matrix. Find the determinant of the 3 × 3 matrix given. A=[ 0 2 1 3 −1 1 4 0 1 ] A=[ 0 2 1 3 −1 1 4 0 1 ] Solution.
- Solving a 3 × 3 System Using Cramer’s Rule. Find the solution to the given 3 × 3 system using Cramer’s Rule. x+y−z=6 3x−2y+z=−5 x+3y−2z=14 x+y−z=6 3x−2y+z=−5 x+3y−2z=14.
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Z.C. Cramer. Writer. IMDbPro Starmeter See rank. Z.C. Cramer is known for Lassie (1954). Add photos, demo reels. Add to list. More at IMDbPro. Contact info. Agent info. Known for. Lassie. 6.5. TV Series. Writer. 1960–1964 • 13 eps. Credits. IMDbPro. Writer. Previous. 1. Lassie. 6.5. TV Series. writer. teleplay. 1960–1964. 13 episodes.
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- Z.C. Cramer
- Finding the Determinant of a 2 × 2 Matrix. Find the determinant of the given matrix. [latex]A=\\left[\\begin{array}{cc}5& 2\\\\ -6& 3\\end{array}\\right][/latex]
- Using Cramer’s Rule to Solve a 2 × 2 System. Solve the following [latex]2\\text{ }\\times \\text{ }2[/latex] system using Cramer’s Rule. [latex]\\begin{align}12x+3y&=15\\\\ 2x - 3y&=13\\end{align}[/latex]
- Finding the Determinant of a 3 × 3 Matrix. Find the determinant of the 3 × 3 matrix given. [latex]A=\\left[\\begin{array}{ccc}0& 2& 1\\\\ 3& -1& 1\\\\ 4& 0& 1\\end{array}\\right][/latex]
- Solving a 3 × 3 System Using Cramer’s Rule. Find the solution to the given 3 × 3 system using Cramer’s Rule. [latex]\\begin{gathered}x+y-z=6\\\\ 3x - 2y+z=-5\\\\ x+3y - 2z=14\\end{gathered}[/latex]
Cramer’s Rule is a viable and efficient method for finding solutions to systems with an arbitrary number of unknowns, provided that we have the same number of equations as unknowns. Cramer’s Rule will give us the unique solution to a system of equations, if it exists.