Let Mn(R) be the set of n x n matrices with real entries. Define the sets V1 = {A € M2(R) | A = A"} V2 = {A € M2(R) | det(A) = 1} For both sets, show whether or not it (i) is closed under addition, (ii) is closed under real scalar multiplication,

Q: M2,2 is the vector space of all 2 x 2 matrices. List the o element of this vector space.

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A: See the solution below.

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A: Explanation is given below..

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A: Please check step 2 for the solution.!

Q: Write the standard matrices of the given linear operators: a) L1(x) = (X1 +x2, X2 – X1) b) L2(x) =…

A: a. we have L1(x)=(x1+x2,x2-x1)  we take standard ordered basis β= (1,0),(0,1) and β=…

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Q: Compute(Ax - y)||2, where A = Rm×n is a matrix and x ≤ Rª and y ≤ R™ are both vectors .

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Q: If Q and U are unitary matrices, show that Q-1 is unitary and also QU is unitary. Start from QHQ = f…

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Notations That Represent A Line

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