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Find the given elements of matrix D: D = 310 −124 97−2 − 52−4 1123 113−2 d11 = d12 = d13 = d21 = d22 = d31 =

Find the given elements of matrix D: D = 310 −124 97−2 − 52−4 1123 113−2 d11 = d12 = d-example-1
User QuantumLicht
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2 Answers

22 votes
22 votes

Answer:

D11-0

D12=-2

D13=4

D21=-4

D22=2

D23=0

Explanation:

User Bozena
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14 votes
14 votes

We want to subtract the second matrix from the first matrix. The steps are shown below


\begin{gathered} D\text{ = }\begin{bmatrix}{3} & {1} & {0} \\ {-\text{ 1}} & {2} & {4} \\ {9} & {7} & {-\text{ 2}}\end{bmatrix}-\text{ }\begin{bmatrix}{5} & {2} & {-\text{ 4}} \\ {1} & {12} & {3} \\ {11} & {3} & {-\text{ 2}}\end{bmatrix}=\text{ }\begin{bmatrix}{3\text{ - 5}} & {1\text{ - 2}} & {0\text{ - - 4}} \\ {-\text{ 1 - 1}} & {2\text{ - 12}} & {4\text{ - 3}} \\ {9\text{ - 11}} & {7\text{ - 3}} & {-\text{ 2 - - 2}}\end{bmatrix} \\ D\text{ = }\begin{bmatrix}{-\text{ 2}} & {-\text{ 1}} & {0\text{ + 4}} \\ {-\text{ 2}} & {-\text{ 10}} & {1} \\ {-\text{ 2}} & {4} & {-\text{ 2 + 2}}\end{bmatrix} \\ D\text{ = }\begin{bmatrix}{-\text{ 2}} & {-\text{ 1}} & {4} \\ {-\text{ 2}} & {-\text{ 10}} & {1} \\ {-\text{ 2}} & {4} & {0}\end{bmatrix} \end{gathered}

The rows are horizontal while the columns are vertical

d11(Term in row1 and column 1) = - 2

d12(Term in row1 and column 2) = - 1

d13(Term in row1 and column 3) = 4

d21(Term in row2 and column 1) = - 2

d22(Term in row2 and column 2) = - 10

d31(Term in row 3 and column 1) = - 2

User Timmwagener
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