Please answer question 2 1. Consider the matrices4A₁ = -(13) 42-(3-2)023-2).These matrices can be used to build functions x¹A₁x, x¹ A₂x, x¹ A3x, and x¹ A4x. These functionsare represented (in an arbitrary order) in Figure 1. Match each matrix with its corresponding picture.=Explain briefly.2. Consider matrices of the form(a) Ma, ≥ 0.(b) Ma,ß ≤ 0.3. Is the matrixMa,8:= a0(b)(c)Figure 1: Graphical representation of functions, A3 =1-a001 -2α ( -2 -² ) + ³ ( -1 -₂ )2-2where a and 3 are scalars. Depending on the values of a and 3, these matrices might be psd, nsd, orindefinite. In a graph with axes a and 3, represent the set of all (a, 3) values for which the matrix5-41psd, pd, nsd, nd, or indefinite? Justify your answer.4. Consider the matrix"15 -14and A4 =-5-400-a0-2a(a² + a)0- (2-a²)(2-a²)(2-a²) 2+ 4a - a²-2aFind all values of a for which this matrix is psd. Are there values of a for which the matrix is pd?ə

Answered: Image /qna-images/answer/b9ffcd50-3c2d-41eb-944d-742b285e171d.jpg

2. Consider matrices of the form -2 1 = a ( - 1² - ²2² ) + ³ ( -7 _ ²2 ) B B -2 1 -2 (a) Ma,B≥ 0. (b) Maß ≤ 0. Ma,B := a where a and 3 are scalars. Depending on the values of a and 3, these matrices might be psd, nsd, or indefinite. In a graph with axes a and 3, represent the set of all (a, 3) values for which the matrix