Find the question 1 to 9 multiple answers please help me on my review #4 for 10 points?

Question

P=[3,1/-4,0]

Q=[4,4/12,21]

R=[0,-1/4 / 1,3/4]

S=[7/12,-1/9, / -1/3,1/9]

T=[4,-5,2/8,-1,3]

U=[-9,6,4/-5,-2,3]

V=[3.1/0,2/-4,5]

1 the dimension of matrix V

a 6x1

b 1x6

c 2x3

d 3x2

2 the first row of T+U

a [-5,1,6]

b [13-,11,-2]

c I[3,-3,6]

d not possible

3 the first row of V-T

a [-1,-7]

b [-7,3,2]

c [-1,5,6]

d not possible

4 the first row of -3T

a [-12,-24]

b [-12,15,-6]

c [-24,3,-9]

d not possible

5 the first row of 5P-Q

a [11,1]

b [9,1]

c [19,9]

d not possible

6 The first row of TV

a [20,-16,9]

b [20,24]

c [4,4]

d not possible

7 the inverse of matrix R

a P

b Q

c S

d not possible

8 the dimensions of ST

A 1x6

B 2x2

C 3x2

D 2x3

9 the pair of matrices that are inverses

a S and R

b Q and R

c P and Q

d Q and S

Answer 1

V =

[ 3 ... 1 ]

[ 0 ... 2 ]

[-4 ... 5 ]

thus V is a 3x2 matrix.

to add or subtract two vectors, they must be of the same size.

then their corresponding components are added or subtracted.

that means .. . .

entry 11 of the first is added/ subtracted to entry 11 of second and so on...

when there is a number before these entries.. . .. .  you multiply all the entries with that number

thus

let

A =

[ 1 2 ]

[-3 5 ]

and

B =

[ 0 -1]

[ 2 6 ]

then

3A =

[ 3 6 ]

[-9 15]

while

A + B =

[ 1 1 ]

[-1 11]