2. Let H be the set of 2 x 2 matrices of the form a H = {( ₂² ) | ab € C} -b a, where a denotes the complex conjugate of a complex number a. Show that H, together with matrix addition and multiplication, forms a ring. (You may assume that M₂(C) is a ring.)

Q: factor of the element 4 in the matrix 1 2 3 A = |4 5 6 [7 8 9

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Q: Find the B-matrix for the transformation x Ax, when B = {b1, b2}. [ -1 4 3 b2 = A = b1 = -2 3

A: Given matrix, A=-14-23B=32-11

Q: /2 003 1Y 0-10 00 II-I0 (2 2 210,

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Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: For what value of b is the (2 x 2)-matrix A below not diagonalizable over the complex numbers? (b)…

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Q: Find two non zero matrices A and B such that AB = 0. %3|

A: Find the two matrix which satisfy the given condition

Q: Determine: 1 [1 -1 2] [2 3] +|0 1 -1

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Q: Show that the determinant of the matrix B = xl – A, where I is an identity matrix and A = [1 2 01…

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