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:

    “Mark you the floore? that square & speckled stone,
    Which looks so firm and strong,
    Is Patience:”
    —George Herbert (1593–1633)

    “The roots of the grass strain,
    Tighten, the earth is rigid, waits—he is waiting—

    And suddenly, and all at once, the rain!”
    —Archibald MacLeish (1892–1982)