Determinant of a 3x3 matrix: standard method (1 of 2)
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Determinant of a 3x3 matrix: standard method (1 of 2)
Sal shows the standard method for finding the determinant of a 3x3 matrix.
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Gurwinder singh on Instagram: "🎥 3D Matrix — When the Determinant is Zero What happens when you apply a 3x3 matrix to space? In this animation: We start with the standard cube formed by the unit vectors î, ĵ, k̂, shown as yellow arrows. These vectors form the edges of a perfect cube. The determinant of the identity matrix is ​​1 → the cube has volume. We then apply a matrix whose determinant is zero. Notice how the cube collapses! The transformed vectors still form a region, but it loses depth:
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Gurwinder singh on Instagram: "🎥 3D Matrix — When the Determinant is Zero What happens when you apply a 3x3 matrix to space? In this animation: We start with the standard cube formed by the unit vectors î, ĵ, k̂, shown as yellow arrows. These vectors form the edges of a perfect cube. The determinant of the identity matrix is ​​1 → the cube has volume. We then apply a matrix whose determinant is zero. Notice how the cube collapses! The transformed vectors still form a region, but it loses depth:
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