Question

Determine the dimension of the vector space.
M2,4
STEP 1:Determine the number of linearly independent vectors needed to span M2,4.
The basis for M2,4 has _________ linearly independent vectors.
STEP 2:Using the result from Step 1, determine the dimension of M2,4.
_________

Answer 1

Answer:

a

The number of linearly independent vectors needed to span M2,4. N =8

b

The dimension of    $M_{2,4}$ is 8

Step-by-step explanation:

 From the question we are told that  

        The  vector space is an $M_{2,4}$ matrix

Now the number of linear linearly independent vectors needed to span M2,4.

is  evaluated as

      $N = 2 * 4 = 8$

this is due to the fact that each entry of the matrix is independent

Given that there are eight  independent  in the vector space the dimension of

  $M_{2,4}$ is 8

Answer 2

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

Calculation of the number of linearly independent vectors and dimensions:

Since there is vector space i.e. M2, 4

So, here n be = 2(4) = 8

Also, each entry of the matrix should be considered independent. Therefore, the dimension should also be 8.

Hence,

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

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