WikiDer > Asosiy diagonali

Yilda chiziqli algebra, asosiy diagonal (ba'zan asosiy diagonali, asosiy diagonali, etakchi diagonal, yoki katta diagonali) matritsaning ${ displaystyle A}$ yozuvlar to'plamidir ${ displaystyle A_ {i, j}}$ qayerda ${ displaystyle i = j}$. Hammasi diagonal bo'lmagan elementlar bor nol a diagonal matritsa. Quyidagi uchta matritsaning asosiy diagonallari qizil 1 bilan ko'rsatilgan:

${ displaystyle { begin {bmatrix} color {red} {1} & 0 & 0 0 & color {red} {1} & 0 0 & 0 & color {red} {1} end {bmatrix}} qquad { begin {bmatrix} color {red} {1} & 0 & 0 & 0 0 & color {red} {1} & 0 & 0 0 & 0 & color {red} {1} & 0 end {bmatrix}} qquad { begin { bmatrix} color {red} {1} & 0 & 0 0 & color {red} {1} & 0 0 & 0 & color {red} {1} 0 & 0 & 0 end {bmatrix}}}$

Antidiyagonal

The antidiyagonal (ba'zan hisoblagich diagonali, ikkilamchi diagonali, orqada joylashgan diagonal, kichik diagonali, yoki yomon diagonali) o'lchov ${ displaystyle N}$ kvadrat matritsa, ${ displaystyle B}$, yozuvlar to'plamidir ${ displaystyle B_ {i, j}}$ shu kabi ${ displaystyle i + j = N + 1}$ Barcha uchun ${ displaystyle 1 leq i, j leq N}$. Ya'ni, u yuqori o'ng burchakdan pastki chap burchakka o'tadi:

${ displaystyle { begin {bmatrix} 0 & 0 & color {red} {1} 0 & color {red} {1} & 0 color {red} {1} & 0 & 0 end {bmatrix}}}$

Shuningdek qarang

• Iz

Adabiyotlar

• Vayshteyn, Erik V. "Asosiy diagonal". MathWorld.