The trace of a matrix A ∈ ℝ^(n×n), tr(A), is
AThe sum of all entries
BThe sum of the diagonal entries
CThe product of the eigenvalues, with sign
DThe largest singular value
Answer & Solution
Correct answer: B. The sum of the diagonal entries
tr(A) = Σ A_ii.
It also equals the sum of eigenvalues (over the complex field), but its definition is the diagonal sum.
Keep practising Math for AI LA Probability
Browse all Math for AI LA Probability questions for Claude, or explore more Aifoundations topics.
Related questions
Conditional probability is defined asFor a Poisson(λ) random variable, the mean equals the variance and both equalEigenvalues λ of a square matrix A satisfyFor the standard NORMAL distribution N(0, 1), the mean and variance areBayes's rule allows you to computeA matrix A is INVERTIBLE if and only ifA Binomial(n, p) random variable has mean and varianceFor two independent random variables X and Y