Matrix Inverses and Determinants Date Period
Kuta Software - Infinite Precalculus
Matrix Inverses and Determinants
Evaluate each determinant.
1)
Name___________________________________ Date________________ Period____
2)
3)
4)
5)
6)
7)
8)
For each matrix state if an inverse exists.
9)
10)
-1-
?V C2d0s1T6y zKwuFtxaE mSyoqfftKwBaorkeR NLnLKCY.i H LAZlulO OrxiMg\hat_sY grceasieHrTvUeVda.i S wMcajdFen swCiytNho wIonufPiCnEi]tYeg SPrrdecc[awlfcjuNldufsM.
Worksheet by Kuta Software LLC
Find the inverse of each matrix.
11)
12)
13)
14)
For each matrix state if an inverse exists.
15)
16)
Find the inverse of each matrix.
17)
18)
Critical thinking questions:
19) For what value(s) of x does the matrix M
have an inverse?
M
x
x
20) Give an example of a 3?3 matrix that has a determinant of .
-2-
?c m2c0h1u6x cKnu_tAaS nSkobfOtCwTaSrgeA ]LWLjCa.N T TArlllu irZi\g]hxtDs[ brfeescelrdvTeidj.H f `MaawdZeZ AwZiYtQhx GIUnaf`ixnHiGtneB OPtrdeLcPaWltc`uEl]uMsW.
Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Matrix Inverses and Determinants
Evaluate each determinant.
1)
Name___________________________________ Date________________ Period____
2)
3)
4)
5)
6)
7)
8)
For each matrix state if an inverse exists.
9) No
10)
Yes
-1-
?q Q2h0F1t6t lKhu^tnae uSeo`fEtHwRa^ryeF aL_LUCw.l z aAFlWlI IryipgwhqttsD qrweysfeerivheBdw.J Z ^MWaxdaeK BwAiMt_hN ^IQndfCionXiVthem NPfr`ewcTaBldcQuXlouIsf.
Worksheet by Kuta Software LLC
Find the inverse of each matrix.
11)
13)
For each matrix state if an inverse exists.
15)
Yes
12)
14)
16)
Yes
Find the inverse of each matrix.
17)
Critical thinking questions:
19) For what value(s) of x does the matrix M
have an inverse?
M
x
x
All values except and
18)
20) Give an example of a 3?3 matrix that has a determinant of .
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-2-
?k d2U0Z1i6O SKIumt_aj ISEovfnt_wlaarXeA ALJLdCT.S J KAJlLlG Br^iMgvhhtfsB mrbeWsveBrtv_e^d\.N w cMsapdeeI FwsiotChH dIinBfDi`nqirtLe^ _PwrgePc_a`lhcruWliuMsc.
Worksheet by Kuta Software LLC
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