Find a set of columns that fo11n a basis for the column space of each of the following matrices. Give the rank of each matrix. Also find a basis for the null space of each matrix. a) [-3 6 5 -10]
b) [2 1 1 1 2 1 7 5 4]
c) [ 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 1]
d) [1 1 1 0 1 0 1 0 1 0 2 1 2 -1 2 -1 1 -1 2 -1 1 2 1 1 1]

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Amountain climber starts a climb at an elevation of 453 feet above sea level at his first rest stop he has climbed 162 feet and by his second rest stop he has climbed another 207 feet its getting late in the day so the climber starts his way down if the climber desends 285 feet how much does he need to ascend or descend to return to the original starting point

Fill in the table with whole numbers to make 430 in five different ways