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Matrix Addition

10 practice questionsLinear AlgebraStep-by-step solutions

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1

Two matrices can be added only if they have the same:

A.Determinant
B.Dimensions
C.Rank
D.Trace
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2

Given A=(44โˆ’13)A = \begin{pmatrix} 4 & 4 \\ -1 & 3 \end{pmatrix} and B=(5135)B = \begin{pmatrix} 5 & 1 \\ 3 & 5 \end{pmatrix}, compute A+BA + B.

A.(10528)\begin{pmatrix} 10 & 5 \\ 2 & 8 \end{pmatrix}
B.(9528)\begin{pmatrix} 9 & 5 \\ 2 & 8 \end{pmatrix}
C.(1โˆ’342)\begin{pmatrix} 1 & -3 \\ 4 & 2 \end{pmatrix}
D.(โˆ’13โˆ’4โˆ’2)\begin{pmatrix} -1 & 3 \\ -4 & -2 \end{pmatrix}
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3

Given A=(4โˆ’434)A = \begin{pmatrix} 4 & -4 \\ 3 & 4 \end{pmatrix} and B=(0โˆ’5โˆ’25)B = \begin{pmatrix} 0 & -5 \\ -2 & 5 \end{pmatrix}, compute A+BA + B.

A.(415โˆ’1)\begin{pmatrix} 4 & 1 \\ 5 & -1 \end{pmatrix}
B.(โˆ’4โˆ’1โˆ’51)\begin{pmatrix} -4 & -1 \\ -5 & 1 \end{pmatrix}
C.(5โˆ’919)\begin{pmatrix} 5 & -9 \\ 1 & 9 \end{pmatrix}
D.(4โˆ’919)\begin{pmatrix} 4 & -9 \\ 1 & 9 \end{pmatrix}
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