For each pair of transformations "T" and "T-1", find T(T-1(w)) and T-?(T()). Then use T or...
Each transformation below is invertible. Determine the closed form representation for the inverse: 1) Let T la +(-1) 6+2c +(-1)d - 1a + 2b + 0c + Od -3a + 56+ (-1) +0d 2a +(-2) b + 3c +0d] с d T-1 2) Let T(a + bx + cx+ dx?) = 1a + 2b + 1c +(-1)d la + 3b + 3c + Od 3a + 7b +6c+(-3) d 8a + 196 +16c+(-6) d 1-[]- 3) Let T 13a +(-17)...
find a basis for the range and the rank of the given linear transformation and determine if it is onto. 1) T: R3[x]→R2[x] given by T(a+bx+cx2+dx3) = (a+2b+c) + (2a+5b+c+d)x + (2a+6b+d)x2. 2) G).r« 2 ,T(e3) T (e2) 3. Т:R4 M2x2(R) given by T(ei) 2 3 -G ) (G) 2 ,T(е) 4 3 1 G).r« 2 ,T(e3) T (e2) 3. Т:R4 M2x2(R) given by T(ei) 2 3 -G ) (G) 2 ,T(е) 4 3 1
For each transformation T and basis B and C, find the corresponding matrix representation M of T from basis B to basis C. 1) Let T6 = la + 2b + 4c 3a +86 + 16c la + 3b + 6c be a linear transformation. -2a +(-7) + (-14)c] с 1 Let B= 2 > -1 4 0 2 Let C = [11] [32] [] [1] The matrix M for transformation T from basis B to C would be: 2)...
1. A state space linear system is shown below. dx1(t)/dt=x1(t)+x2(t)-x3(t)+u1(t) dx2(t)/dt=--x3(t)-u1(t) dx3(t)/dt=-x3(t)-u2(t) y(t)=-x1(t)+x3(t) (1) Re-write the state space equation as following, determine matrices A, B, C and D dx(t)/at=Ax+Bu y(t)=Cx+Du (2) Determine the matrix Q that is Q=[B A*B (A^2)*B (A^3)*B L (A^(n-1)*B] (3) Determine if the rank of Q is n (n=3) and determine if the system is controllable
Urgent please,thanks Suppose T: P3R4 is an isomorphism whose action is defined by -2a+d 2b+c Tax3 +bx+cx+d) = -2a+2d c+d Find the inverse transformation T-1 and give its action on a general vector, using x as the variable for the polynomial and p, q, r, and s as constants. Use the " character to indicate an exponent, e.g. px^2-qx+r.
please answer the question 2) (1 point) For each transformation below, determine a basis for (Range(T)) Note that if you do not need a basis vector, then write o for entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 9 Let 7 [a ] la 250e6d 20 +56 + 10 +14d 2a +65 +2c + 160 4a +(12)+( 4)c+(32) d -30 +...
Match List-I with List-II and select the correct answer: List-I List-II A. Stokes' law 1. Strouhal number 2. Creeping motion B. Bluff body C. Streamline body 3. Pressure drag D. Karman Vortex Street 4. Skin friction drag (a) 2A 3B 1C 4D (b) 3A 2B 4C ID (c) 2A 3B 4C 1D (d) 3A 2B 1C 4D
QUESTION 1 Match the glven function to its graph. 1) y = sinx 2) y = COS X 3) y = -sinx 4) y = -COS X А B 2+ TAA - 70 27 -1 + 2+ -3 31 С D 31 2+ AAA AA 27 2 -2- -3 31 1A, 2D, 3C, 4B 1C, 2A, 3B, 4D 1A, 2B, 3C, 4D 1B, 2D, 3C, 4A
These are linear algebra problems. 1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is invertible, and if so, use the adjoint method Enter as a matrix, exactly in fractional from if required, if not invertible enter "NA" A-1 la b -2a -2b -2c d e f d = -2,find Given that g hi g-3d h-3e -3f -2a -2b -2c d f g 3d h 3e...
1. Initialize CS=OD03 and IP = 0000 2. Assemble the following set of instructions at CS:IP Step-la: PUSH DS Step-1b: MOV AX, 0000 Step-1c: PUSH AX Step-1d: MOV CX, 0005 Step-le: MOV DX, 0000 Step-1f: NOP Step-Ig: INC DX Step-1h: LOOP 000B Step-li: RETIF 3. Execute the instructions one at a time with TRACE commands. Describe the operation performed by each instruction. Note down your observations to any changes in as much detail as possible. a) Instruction-a b) Instruction-b c)...