Assume a function F(a,b,c) is 0 when abc-010 or abc=101, and is 1 when abc are otherwise. Which Karnaugh-map correctly describes set of prime implicants for a minimum sum-of-products for the function F? C ab ab ab 00 00 00 01 01 10 11 11 10 11 10 3 2 1 O 1 only 2 only 03 only Both 1 and 2 are correct Both 1 and 3 are correct Both 2 and 3 are correct
LarPCalc8 8.1.012 45 points 1. Determine the order of the matrix. 47 15 0 -1 0 3 3 6 7 -3 1 O-15 points LarPCalc8 8.1.020. 2. Write the augmented matrix for the system of linear equations. {Sx 4y-2z 24 -21y +8z -3 8x + O-15 points LarPCalc8 8.1.022 My Nete 3. Write the system of linear equations represented by the augmented matrix. (Use the variables x, y, z, and w, if applicable.) 7 -5-4 3 39 8 O-5 points...
Name (2 pts./pe-) Page 3 8) Consider the partitioned matrix multiplication 03 181 2 100 2 04 00 19-50 01 1-17-214) x -47001 =P 0 0 0 21 13 8 1 21 0 0 01 1 13 0 2 1 r numbers in the lower right corner of the product matrix, P, teleanattabove) are: The dimensions of the product matrix, P, are: 9) Prove that Hint Take the logarithm of both sides to an intelligently chosen base. 10) The code...
1. Evaluate the following determinants: 8 7 3 4 0 2 (a) 4 0 1 (c) 6 0 3 6 03 8 2 3 ab (e) b c с a b 1 1 1 2 3 (b) 4 7 5 3 6 9 4 -2 (d) 8 11 4 х (f) 3 9 5 0 y 2 -18 7
Given that A 4 -3 and B= [- 0 2] -1 0 2 a) Find A+B b) Find AB
2 (1 point) Show that A= 55 -3 1] 2 0 1 LO 03 and B= -3 9 | 12 0 6 -4 are similar matrices by finding an invertible matrix P satisfying 11] -4 A=P-1BP. P-1 =
Please use matrix method
0 0 1 2. Let A = 0 TO 0 0 1 [ 1 1 2 21 jo 1 0 0 1. BT = 2 2 3 3 0 0 1 1 (1 000 (1) Calculate BT AB. (20 points) (2) Calculate the rank and nullity of BT AB. (10 points) Answer: 8 14 21 14 24 4 2 40 henk is 2 and nullity is 1.
Let a,b be fa,b (a,b) = (1+ab)/3 0<=a<=1 , 0<=b<=2 0 otherwise a) Find pdf fa and fb b) Are a and b both indepent? explain why
linear alebra
can you do problems 5&6 please.
5. If A is 2 by 3 and B is 3 by 2 ani AB = 1, show from its rank that BA 1. 3 points 6. Find the LU factorization of the matrix for the matrix A [10 points A=11-1 0 1-14 0 -4 What is the LDU factorization? Find the complete solution of Ar = b with b given above.
5. If A is 2 by 3 and B is...
Find |Al, |BI, AB, and |AB| Then verify that |A||B| |AB 0 1 4 1 1 0-1 1 1 -1 0 1 4 B = 1 C 4 A = 4 2 1 1 1-1 0 1 4 20 2 4 1 0 (a) |A (b) |BI (c) AB (d) |AB st
Find |Al, |BI, AB, and |AB| Then verify that |A||B| |AB 0 1 4 1 1 0-1 1 1 -1 0 1 4 B = 1 C 4...