functie INVERSEMAT
INVERSEMAT
Geeft de inverse van een matrix terug.
Syntaxis:
INVERSEMAT(matrix)
- geeft de inverse terug van de vierkante matrix matrix, welke een matrix als regel of een bereik mag zijn, die alle getallen bevat.
- INVERSEMAT geeft een matrix terug en moet worden ingevoerd als een matrixformule (bijvoorbeeld door {{#switch:ctrl
| shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Ctrl }} {{#if:Shift| + {{#switch:shift | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Shift }} }}{{#if:Enter| + {{#switch:enter | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Enter }} }}{{#if:| + {{#switch:{{{4}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{4}}} }} }}{{#if:| + {{#switch:{{{5}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{5}}} }} }}{{#if:| + {{#switch:{{{6}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{6}}} }} }} te gebruiken in plaats van alleen {{#switch:enter | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Enter }} {{#if:| + {{#switch:{{{2}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{2}}} }} }}{{#if:| + {{#switch:{{{3}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{3}}} }} }}{{#if:| + {{#switch:{{{4}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{4}}} }} }}{{#if:| + {{#switch:{{{5}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{5}}} }} }}{{#if:| + {{#switch:{{{6}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{6}}} }} }}).
- Een matrix heeft alleen een inverse als de determinant er van niet nul is.
Voorbeeld:
=INVERSEMAT({4;2|3;2})
- indien ingevoerd als een matrixformule in cel B3, geeft {1;-1|-1,5;2} terug, zodat de cellen B3, C3, B4, C4 respectievelijk weergeven 1, -1, -1,5, 2.
=INVERSEMAT(A1:B2)
- indien ingevoerd als een matrixformule in cel B3, waarbij de cellen A1, B1, A2, B2 respectievelijk bevatten 4, 2, 3, 2, geeft respectievelijk 1, -1, -1,5, 2 terug in de cellen B3, C3, B4 en C4.
Zie ook
