Question

Give the order of the given matrix.b.  If A=aij, identify a32 and a23, if possible.

Answer 1

Step-by-step explanation

The order of a matrix can be written as mxn where m is the number of rows and n is the number of columns. In this case, the matrix given by the question has three rows and four columns so its order is 3x4.

If the matrix can be described as:

`A={}\lbrack a_(ij)\rbrack`

then the subindices indicate the row and column of the element. For example, the element located at the first row and third column would be a₁₃. We need to identify the elements a₂₃ and a₃₂ which means that we have to write the elements located at the second row and third column and the one located at the third row and second column.

Answer

Then the answer to part a is:

3x4

And the answer to part b is:

a₂₃ = -8

a₃₂ = 1/3