[PDF] [PDF] Extra Practice - Determinants & Inverses of Matrices

[PDF] Matrix Inverses and Determinants - Kuta Software

Worksheet by Kuta Software LLC -2- Find the inverse of each matrix 11) -3 1 9 -1 12) -3 -3 -4 -3 13) -4 0 -8 -1 14) 3 -1 -2 4 For each matrix state if an 

[PDF] 3x3 matrix inverse

3x3 matrix inverse A = ⎛⎝ 1 −1 1 0 −2 1 −2 −3 0 ⎞ ⎠ (AI) = ⎛⎝ 1 − 1 1 1 0 0 0 −2 1 0 1 0 −2 −3 0 0 0 1 ⎞ ⎠ ⎛1 −1 1 1 0 0⎞ ⎛1 −1 1 1

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Step 3: find the matrix of cofactors by changing the sign of the four elements just around the center element to its opposites 11 8 7 5 4 3 3 2 1 -

[PDF] Extra Practice - Determinants & Inverses of Matrices

Worksheet by Kuta Software LLC Extra Practice - Determinants Inverses of Matrices Evaluate each determinant 1) -5 -3 3 3 -3 -4 4 1 -5 0 -1 -4 7) -3 4 -5 2 -3 -5 1 3 5 8) 0 5 -4 -3 4 -5 1 0 -5 9) Find the inverse of each matrix

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Worksheet by Kuta Software LLC For each matrix state if an inverse exists 1) - 3 -4 6 3 2) -2 -2 Find, by hand, the inverse of each matrix 5) 9 9 0 -8 6)

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Calculate the determinant of 2x2 and 3x3 matrices • Use the determinant Distribute worksheets “Matrix Inverse Roundtable 1–4” to each group Circulate the

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In this leaflet we consider how to find the inverse of a 3×3 matrix Before you work through this leaflet, you will need to know how to find the determinant and 

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Element **A matrix can be named using its dimensions Determinant for a 3x3 matrix: Expansion by minors Example: Solve using the inverse matrix method

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LINEAR SYSTEMS AND MATRICES Worksheet by Kuta Software LLC 7 1 Solving Systems of Find the inverse of each 3x3 matrix Keep the determinant 

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If we know matrix and matrix , solve for the unknown matrix Find the inverse of a 2x2 matrix: Find the inverse 1 2 Worksheet by Kuta Software LLC Algebra 2

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dAglwl0 1rbiNgQhStXs8 drOeSs2e6rpvZe7dc.H Extra Practice - Determinants & Inverses of Matrices

Evaluate each determinant.

1) 2) 3) 4) 5) 6) 7) 8) 9) 10)

Find the inverse of each matrix.

11) 12) 13) 14) 15) 16) 17) 18)

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19) 20) Solve each equation or state if there is no unique solution. 21)
X 22)
C 23)
A 24)
Z 25)
Z26) X 27)
C 28)
X 29)
Y30) A 31)
X 32)
X 33)
Y 34)
Y 35)
A 36)
X 37)
B 38)
X 39)
X 40)
B

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Answers to Extra Practice - Determinants & Inverses of Matrices

1) 2) 3) 4)

5) 6) 7) 8)

9) 10)

11) 12) 13)

14) No inverse exists

15) 16) 17) 18) 19) 20) 21)

22) No unique solution23)

24)
25)
26)
27)
28)
29)
30)
31)
32)

33) No unique solution

34)
35)
36)
37)
38)
39)
40)
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