Let V = M² X 2 (R) be the vector space of all real 2 x 2 matrices. Determine if the following matrices are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁A₁ + a₂A₂ + ªa343 +444 that results in the zero matrix. (Give ₁, 2, 3, and 4 as real numbers. If the matrices are linearly independent, enter INDEPENDENT.) A₁ = · -[ : :], ^₂ -[ : 8 ]· ^, -[: 0], A₂ (a₁a₂₁ 3₁₁) = 4-[48] and A₁ =

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A: The given matrix .The aim is to prove that the column vectors of  are dependent and describe the…

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A: Given,             A=3211-12-60-126-2-1026.

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A: Given: Vector, x=1, 2,2TTo find: Householder matrix H

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A: Given that  A=4-4-1675-16011, b=3-11, c=-451 Select true or false statement.

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