
ſi 3 5] 1) (5 points) Compute the determinant of A= | 2 -2 1 using elemen- | 3 1 3 | tary row operations. No credit will be given for just the answer. Show enough work that I can see your elementary row operations used.
A =10 ſi -2 -5 4 3 11 Jo 0 1 -2 0 -4 0 0 0 0 1 3 Lo 0 0 0 0 0 ] Describe all solutions of Ax = 0. x = x2 + 4
ſi 4 01 Compute the inverse of the matrix A = 1 5 0 7 1 1
Use expansion by cofactors to find the determinant of the matrix. - 3 4 -1 13 1 2 | -1 4 2 Use expansion by cofactors to find the determinant of the matrix. [65 31 0 4 1 00-3]
Find the determinant of the matrix. Expand by cofactors [ 7-11 1-5 10 (a) Row 2 (b) Column 2 284 noints SOLICA
AB 00 01 11 10 CD 00 0 0 4 1 12 1 8 1 01 1 1 5 1 13 1 9 1 11 3 1 7 0 15 0 11 0 10 2 0 6 0 14 0 10 1 Simplify F(A, B, C, D) using the zeros of the k-map to get F`, then use De Morgan’s formula to get F in product of sums and select the one that matches it from the following; a-...
2. [16 marks) - T (a) Evaluate the determinant of matrix A where: ſi 3 -1 0 2 -4 A= -2 -6 2 3 37 - 38 (b) Solve the following system of equations for 23 only, by using Cramer's Rule: [Again, your answer to part(a) may be helpful!] 21 +3.02 – 23 2x2 - 4.23 - 24 -221 - 602 +213 +324 3.01 + 7.02 – 3x3 +8.04 = 1 = 0 = -2 = 0 (c) Use your...
Use Gauss elimination, compute the determinant of the matrix o 0 2 0-1 4 4 5 1 2 0 0 7 2 5 -1 5 6 5 0 -1 5 0 4 8
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10 (11 points) The matrix A= 2 1 3 2 7 reduces to R= 0 3 1 a 6 5 0 1 Let ui, , 13, 144, and us be the columns of U. (a) Determine, with justification, whether each of the following sets is linearly independent or linearly dependent. i. {u1, 12, 13) ii. {u1, 13, us} iii. {u2, 13} iv. {u1, 12, 13,...
Combine the methods of row reduction and cofactor expansion to compute the determinant. −1 −5 −4 −1 0 4 8 0 −3 −5 −4 −1 6 −5 −5 0