LIN-32

2×2 cofactor C11

(1,1) cofactor of 2×2.

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Governing2×2 cofactor C11

Governing equation

C_{11}=d

where

d: d (—)
C: 2×2 cofactor C11 (—)

Lecture brief

Historical brief

Determinants, eigenvalues, least squares and Cayley–Hamilton are the nineteenth-century matrix craft behind every coupled system. The sheets invert, project and diagonalise small n. This sheet (LIN-32 — 2×2 cofactor C11) is the form associated with 2×2 cofactor C11. Working symbols: $d$ $\rightarrow$ $C$ . (1,1) cofactor of 2×2. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

C

from

d

in Linear algebra via

C_{11}=d

(1,1) cofactor of 2×2. Use it when a real linear algebra question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

d = 4.000\,\mathrm{—}

, the governing relation

C_{11}=d

yields

C = 4.000\,\mathrm{—}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

d d4 —

Outputs

2×2 cofactor C11 C4.000 —

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

(1,1) cofactor of 2×2. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube