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Determinants of 2 x 2 and 3 x 3 Matrices By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org
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Determinant of a 2 x 2 Matrix ab cd Jeff Bivin -- LZHS
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Determinant of a 2 x 2 Matrix 35 46 Jeff Bivin -- LZHS
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Determinant of a 2 x 2 Matrix -43 52 Jeff Bivin -- LZHS
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Determinant of a 2 x 2 Matrix 84 65 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 134 2 15 367 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 134 2 15 367 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 1341 2 152 3673 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 2 1521 36736 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 2 1521 36736 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 2 1521 36736 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 2 1521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 2 1521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 13413 21521 36736 117 + 353 + 426 - 314 - 651 - 723 7 + 45 + 48 - 12 - 30 - 42 = 16 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 2162 4 374 5985 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 2162 4 374 5985 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 4 3743 59859 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 4 3743 59859 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 4 3743 59859 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 4 3743 59859 Augment the determinant with the first two columns Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 4 3743 59859 117 + 353 + 426 - 314 - 651 - 723 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 4 3743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix 21621 43743 59859 238 + 175 + 649 - 536 - 972 - 841 48 + 35 + 216 - 90 - 126 - 32 = 51 Jeff Bivin -- LZHS
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Find the area of the Triangle 121 5 91 951 Use a Determinant
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Determinant of a 3 x 3 Matrix 12112 59159 95195 (191 + 219 + 155 - 991 - 511 - 152) (9 + 18 + 25 - 81 - 5 - 10) 22 Jeff Bivin -- LZHS
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Find the area of the Quadrilateral Divide into two triangles
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Find the area of the Quadrilateral -321 3 91 951 The top triangle
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Find the area of the Quadrilateral 951 1 -51 -321 The bottom triangle
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Find the area of the Quadrilateral
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The area of the triangle is 11. Find the value(s) of k. Use a Determinant k+111 k51 131
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The area of the triangle is 11. Find the value(s) of k. k+111 1 k51k5 13113
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The area of the triangle is 11. Find the value(s) of k. k+111 1 k51k5 13113
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“Shoe Lace” Method
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Find the area of the Triangle 12 5 9 9 5 12
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Find the area of the Quadrilateral -32 39 95 1-5 -32
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