Determinants.

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Presentation transcript:

Determinants

**To find a determinant you must have a SQUARE MATRIX!!** Determinant - a square array of numbers or variables enclosed between parallel vertical bars. **To find a determinant you must have a SQUARE MATRIX!!** Finding a 2 x 2 determinant:

Find the determinant:

Finding a 3x3 determinant: Diagonal method Step 1: Rewrite first two rows of the matrix.

126 - (-52) 126 + 52 = 178 Step 2: multiply diagonals going up! -224 +10 +162 = -52 Step 2: multiply diagonals going up! Step 2: multiply diagonals going down! +12 -126 +240 =126 Step 3: Bottom minus top! 126 - (-52) 126 + 52 = 178

38 - 38 = 0 Step 2: multiply diagonals going up! -18 +50 +6 = 38 Step 2: multiply diagonals going up! Step 2: multiply diagonals going down! - 15 45 + 8 = 38 Step 3: Bottom minus top! 38 - 38 = 0