What is the difference between Matrix & Determinant?
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
What is the difference between Matrix & Determinant? Matrix is representation of number in row & column format Eg: A = [9 2 1 / 5 -1 6 / 4 0 -2] Matrix can be of any order [3/5/6] (3 × 1) [32 / 14 / 53] (3 × 2) [3/1 2/4] (2 × 2) Scalar multiplied to matrix If a number is multiplied to matrix, it is multiplied to each element of the matrix 2 [9 2 1 / 5 -1 6 / 4 0 -2] = [2 × 9 / 2 × 2 / 2 × 1] [2 × 5 / 2 × (-1) 2 × (6) / 2 × 4 / 2 × 0 / 2 × (-2) Determinant Determinant is number associated with a matrix Eg: |A| = |9 2 1 / 5 -1 6 / 4 0 -2 | = 90 Determinant is only possible for a square matrix |32 / 14 / 53| Determinant not possible |3 1 / 2 4| Determinant possible Scalar multiplied to determinant If a number is multiplied to determinant, it is multiplied to either one row, or one column 2 |9 2 1 / 5 -1 6 / 4 0 -2| = |2× 9 / 2 × 2 / 2× 1 / 5 -1 6 / 4 0 -2| Or |2 × 9 2 1 / 2×5 -1 6 / 2×4 0 -2]
Finding determinant of a 2x2 matrix
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo