©Z A2J02152P 6K6uhtPaa bSrovf5tIwkaUrqef pLNLmCE.m q GA0lLl0 prsiggxhUttsd yreeEsqecrrvCewda.p A kMKaadIeN fweiKt9ho mI9nafAiGnDiYtSeQ pAblQgpejbsryaz 22E.S Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Inverse Matrices
For each matrix state if an inverse exists.
1) −9 −9
−2 −2 2) −2 1
−6 1
3) 4 −5
−9 6 4) 0 0
−6 4
Find the inverse of each matrix.
5) 11 −5
2 −1 6) 0 −2
−1 −9
7) −1 7
−1 7 8) 1 −1
−6 −3
-1-
©P O2J0I1R2d FKpu2tjaA LSwoTfxtpwGagr8eH TLoLVCr.1 4 BAYlZlK 1raijgqhutqs5 Xr4eHsze6r4vne9dV.r t AMRaddeeY JwEivtghV uI9ncfjiZnqiKtZez IABlUgNeZbZrmaX i2i.c Worksheet by Kuta Software LLC
9)
3 −2
−4 6 10)
−6 11
−4 7
11) −9 −6
−5 −4 12) 5 −8
6 −9
13) 2 −10
−11 8 14) −2 −2
6 8
15) −2 2
−9 8 16) −3 3
8 7
Critical thinking questions:
17) Give an example of a 2×2 matrix with no inverse.
18) Give an example of a matrix which is its own inverse (that is, where
A−1 = A)
-2-
©7 C2W0v1C2R BK1uHt2aF nScoVfNtAwGaurOeA lL0LdCf.M t IAQl6lE 7rri1gChytMsH 5rSe7s9eYr7vXeidO.Y 9 WMyavdieG owiittIhN 2ISnefhiOn9iPt7eD NAll2gse8bfrDaO G2g.S Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Inverse Matrices
For each matrix state if an inverse exists.
1) −9 −9
−2 −2 No
2) −2 1
−6 1 Yes
3) 4 −5
−9 6 Yes
4) 0 0
−6 4 No
Find the inverse of each matrix.
5) 11 −5 2 −1 1 −5 2 −11
6) 0 −2
−1 −9 9 2
−1
−1 2
0
7) −1 7
−1 7
No inverse exists
8) 1 −1
−6 −3 1 3
−1 9
−2 3
−1 9
-1-
©t U2J0e1a2K nKBuitlas VS4oHf7t5wFa6rSeb 9LaLLC1.7 Y ZAHlKlF yrriBgZhhtvsZ 2rbeXsLeorAvNeJdF.U c xMLafddeY wwdivtDhg 3INnjfViBnSiitMeZ IAWlPgiewbirRaT G2O.6 Worksheet by Kuta Software LLC
9)
3 −2
−4 6 3 5
1 5 2 5
3 10
10)
−6 11
−4 7 7 2
−11 2
2 −3
11) −9 −6
−5 −4
−2 3
1 5 6
−3 2
12) 5 −8 6 −9
−3 8 3
−2 5 3
13) 2 −10
−11 8
− 4 47
− 5 47
−11 94
− 1 47
14) −2 −2
6 8
−2 −1 2 3 2
1 2
15) −2 2
−9 8 4 −1 9 2
−1
16) −3 3
8 7
− 7 45
1 15 8
45 1 15
Critical thinking questions:
17) Give an example of a 2×2 matrix with no inverse.
Many answers. Ex: 1 2 2 4
18) Give an example of a matrix which is its own inverse (that is, where
A−1 = A) Many answers. Ex: −10 9
−11 10
-2-
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
