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12 Nov 2019
need help with 6-10. full solutions required, thanks.
6. D etermine whether or not the matrix below is diagonalizable. If it is, find the matrix that diagonalizes it. 3 0 4 L-1 0 7 Given the function T:M," âM,n, defined by, T(A)-/+A, a. Find, in simplified form, T(I), where is the nxn identity matrix. b. Determine if T is a linear transformation. 7. 8. The linear transformation T is given by T(v) = Av , where A = | 0-1 0 Find: a. A basis for the kernel of T b. A basis for the range of T c. The rank of T. d. The nullity of T. 9. Determine if the set x-x +2x2-1, +1, +3x + spans P Is W={(a,b,c) e R3:a-b+c=0} a subspace of R3?Prove it is, or explan why it isn't. 10.
need help with 6-10. full solutions required, thanks.
6. D etermine whether or not the matrix below is diagonalizable. If it is, find the matrix that diagonalizes it. 3 0 4 L-1 0 7 Given the function T:M," âM,n, defined by, T(A)-/+A, a. Find, in simplified form, T(I), where is the nxn identity matrix. b. Determine if T is a linear transformation. 7. 8. The linear transformation T is given by T(v) = Av , where A = | 0-1 0 Find: a. A basis for the kernel of T b. A basis for the range of T c. The rank of T. d. The nullity of T. 9. Determine if the set x-x +2x2-1, +1, +3x + spans P Is W={(a,b,c) e R3:a-b+c=0} a subspace of R3?Prove it is, or explan why it isn't. 10.
Nestor RutherfordLv2
30 Jul 2019