SECTION I: MATRIX OPERATIONS[2-11.5A =2.751-1-3-0.540.250.10.2-15.20.6D =0.05[sym.72-1000.25011E =-15.5751.975 21.4-0.91.075 1.2 5.91. Find the TRANSPOSE of B.Name it, "Matrix F".2. Find the PRODUCT of Matrices A and F.Name it, "Matrix G".3. Matrix D is symmetric. Find the SUM of Matrices G and D.Name it, "Matrix H".4. Find the DIFFERENCE between Matrices H and E. That is: [H] - [E].Name it, "Matrix I".5. AUGMENT Matrix C with Matrix I. Write them in both in MATRIX AND EQUATIONFORM. Remember: Ax=B, or in this case, Ix=C.Use the variables: w, x, y and z when writing them in equation form.6. Using the formula discussed in class, determine if Matrix is DIAGONALLYDOMINANT. If yes, proceed to section 2. If not, rearrange Matrix I so that it becomesdiagonally dominant. Since we have previously augmented matrix I with C, rewritethe system of linear equations (just as with Item 5) with the CORRESPONDINGrows from matrix C both in MATRIX AND EQUATION FORM assuming now that itis diagonally dominant.-0.511.531-0.412.70.2515B =1.5 5=4

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2 A = 4 0.25 0.1 0.2 -15.2 0.6 0.05 2 -10 0 7 0.25 0 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9] 1. Find the TRANSPOSE of B. Name it, "Matrix F". 2. Find the PRODUCT of Matrices A and F. Name it, "Matrix G". 3. Matrix D is symmetric. Find the SUM of Matrices G and D. Name it, "Matrix H". -1 1.5 2.75 1 - -1 -3 L-0.5 D = 1.5 sym. -0.51 1.5 3 1 -0.41 2.7 0.25 15 B = 5 7 C = -51 4 -7 0