I need help with these two questions thanks

QUESTION 1:

_> 5 _> 39 a2 = 1 ,and b = 1 22 . ' . . . . > > Determine whether 5 can be written as a linear combination of a1 and 12. In other words, determine whether weights 331 and $2 exist, such that > > > . . . . $10.1 + m2 0,2 = b . Determine the weights if pOSSIbIe. b is a linear combination of a and 0,2. The weights are 3:1 2 5 and 3:2 = 3. is a linear combination of 0.1 and 0.2. The weights are 3:1 2 3 and $2 = 2. >. . . . > > . b is a linear combination of 0,1 and 0,2. The weights are 3:1 2 4 and $2 = 4. >. . . . > > . b is a linear combination of 0,1 and 0.2. The weights are 3:1 I 4 and $2 = 3. > > b is not a linear combination of 0:1 and \"2. No such weights exist. -3 2 Let A = -2 5 -1 and b = b2 3 3 -12 63 Determine if the equation A a = b is consistent for all possible b1, b2, 63. If the equation is not consistent for all possible b1, b2, b3, give a description of the set of all b for which the equation is consistent (i.e., a condition which must be satisfied by b1, b2, b3). The system is consistent for all b1, b2, b3 satisfying 7b1 + 5b2 + b3 = 0. The system is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0. The system is consistent for all b1, b2, b3 satisfying 9b1 + 6b2 + b3 = 0. The system is consistent for all b1, b2, b3 satisfying 2b1 + b2 = 0. The system is consistent for all possible b1, b2, b3