5 Questions
What is the determinant of a 2 × 2 matrix with entries a, b, c, and d?
$ad - bc$
Which formula expresses the determinant as a sum of n signed products of matrix entries?
Leibniz formula
When is the determinant of a matrix nonzero?
When the matrix is invertible
How can the determinant of an n × n matrix be computed using a method that expresses it as a linear combination of determinants of submatrices?
Laplace expansion
What is the determinant of a 3 × 3 matrix with entries a, b, c, d, e, f, g, h, and i?
$aei+bfg+cdh-ceg-bdi-afh$
Test your knowledge about determinants, a scalar value that characterizes properties of a square matrix. Learn about its significance in linear algebra and its relation to matrix invertibility and isomorphism.
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