c) Let T and T, the functions of R2 to R? given by 1() - ("") CU5 * x - (:) And y? T2 y+ x 1) Determine if T : R? → R² . If that's the case determine if T is bijective. 2) Determine T2: R2 → R² If...

i need part C solution

The CU values
CU1=1
CU2=3
CU3=3
CU4=3
CU5=6
CU6=3

Extracted text: c) Let T and T, the functions of R2 to R? given by 1() - ("") CU5 * x - (:) And y? T2 y+ x 1) Determine if T : R? → R² . If that's the case determine if T is bijective. 2) Determine T2: R2 → R² If that's the case determine if T2 is bijective.


Extracted text: 2.- Linear Transformations. a) Let T: RCU2 → RCU2-1 a linear transformation 1) ¿Maximum range for T? 2) ¿Which is the number pe N, such that the Kernel (t) is a subset of RP ? 3) Demonstrate that kernel (T) is a subset of RP b) Let T: R3 → R3 be a linear transformation such that T (2) = Ar where CU6 +1 0 -5 * CU4 -7 * CU3 7 * CU3 CU1 A = I| 5 * CU4 Then calculate: 1) The Null space 2) The nullity 3) Range of A 4) If T its injective 5) If T is surjective