Similarly, in this way, we can expand it along any row and any column. Step 4: Now the expansion of the determinant of A, that is |A| can be written as |A| = ![]() ![]() Step 3: Multiply the third element of row R 1 with the determinant obtained after deleting the first row and third column. Step 2: Similarly, multiply the second element of the first rowR 1, with the determinant obtained after deleting the first row and second column. Step 1: Multiply the first element a 11 of row R 1 with (-1) (1 + 1) and with the second order determinant obtained by deleting the elements of row R 1 and C 1 of A as a 11 lies in R 1 and C 1. Consider a matrix A of order 3×3įor calculating the Determinant of 3×3 Matrix use the following step: It can be expanded either along rows(R 1, R 2 or R 3) or column(C 1, C 2 or C 3). ![]() It is often denoted as or 1 or 2 or (often in physics). Role of Mahatma Gandhi in Freedom StruggleĪrea enclosed between two vectors in 2D Determinant of a 3×3 Matrixĭeterminant of a 3×3 Matrix is determined by expressing it in terms of 2nd-order determinants. In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an complex matrix is an matrix obtained by transposing and applying complex conjugate on each entry (the complex conjugate of being, for real numbers and ).
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