Square Root - Square Roots of Matrices and Operators

Square Roots of Matrices and Operators

If A is a positive-definite matrix or operator, then there exists precisely one positive definite matrix or operator B with B2 = A; we then define A1/2 = √A = B. In general matrices may have multiple square roots or even an infinitude of them. For example the 2×2 identity matrix has an infinity of square roots.

Read more about this topic:  Square Root

Famous quotes containing the words square and/or roots:

    “Houses haunt me.
    That last house!
    How it sat like a square box!”
    —Anne Sexton (1928–1974)

    “Sensuality often accelerates the growth of love so much that its roots remain weak and are easily pulled up.”
    —Friedrich Nietzsche (1844–1900)