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Yes.

If one matrix is p*q and another is r*s then they can be multiplied if and only if q = r and, in that case, the result is a p*s matrix.

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Yes.

If one matrix is p*q and another is r*s then they can be multiplied if and only if q = r and, in that case, the result is a p*s matrix.

Q: Can a 3 X 4 matrix be multiplied by a 4 X 1 matrix?

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That is called the identity matrix. For example, (3,1,4)t x (1,1,1) = (3,1,4)t In this case (1,1,1) is the identity matrix. Another example is 5 11 1 0 1 11 x = 4 3 0 1 4 3 (You will have to imagine the brackets around the matrices as I did not know how to draw them in.) In this case 1 0 is the identity matrix. 0 1

((3 over 4) multiplied by 2) over 3 = 0.5

1/2

For example, if you have [ -4 1 0 3] as your matrix, it would be negative 4. Whatever negative number is in your matrix is your answer.

1/4 × 1/3 = (1×1)/(3×4) = 1/12

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That is called the identity matrix. For example, (3,1,4)t x (1,1,1) = (3,1,4)t In this case (1,1,1) is the identity matrix. Another example is 5 11 1 0 1 11 x = 4 3 0 1 4 3 (You will have to imagine the brackets around the matrices as I did not know how to draw them in.) In this case 1 0 is the identity matrix. 0 1

3x1 matrix

4/3 or (1 and 1/3)

3 multiplied by 5/4 is equal to 15/4.

4 × 1/3 = 1 and one third, or 4/3.

4

3 multiplied by 4, 6 multiplied by 2 and 1 multiplied by 12

((3 over 4) multiplied by 2) over 3 = 0.5

1

1/2

For example, if you have [ -4 1 0 3] as your matrix, it would be negative 4. Whatever negative number is in your matrix is your answer.

1/4 × 1/3 = (1×1)/(3×4) = 1/12