Determinant of 3x3 Matrix
Tambuwal Maths Class
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Determinant of 3x3 Matrix
19 261 просмотр · 5 лет назад
Tambuwal Maths Class
356 тыс. подписчиков
19 261 просмотр · 5 лет назад
The determinant of a matrix is a special number that can be calculated from a square matrix.
A Matrix is a matrix that has equal number of rows and columns
Example; a matrix that has 3 Rows and 3 Columns is square matrix of the order 3x3
The determinant helps us find the inverse of a matrix, tells us things about the matrix that are useful in systems of linear equations, calculus and more.
The symbol for determinant is two vertical lines either side, example; |A| or Det(A)
Calculating the Determinant
First of all the matrix must be square (i.e. have the same number of rows as columns). Then it is just basic arithmetic. Here is how:
For a 3x3 Matrix A
The determinant of A equals to
a₁₁(a₂₂a₃₃-a₃₂a₂₃)-a₁₂(a₂₁a₃₃-a₃₁a₂₃)+a₁₃(a₂₁a₃₂-a₃₂a₂₂)
where a₁₁ is the first row first column element, a₁₂ is the first row second column element, a₁₃ is the first row third column element, a₂₁ is the second row first column element and a₂₂ is the second row second column element, a₂₃ is the second row third column element, a₃₁ is the third row first column element, a₃₂ is the third row second column element and a₃₃ is the third row third column element.
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