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3 years ago

If matrix A has dimensions 3 x 2 and matrix B has dimensions 3 x 2, can matrix A and matrix B be multiplied?

2 answers:

8 0

Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns

The number of columns in matrix A (which is 2) does not match up with the number of rows in matrix B (which is 3).

So the matrix multiplication A*B is undefined. We cannot multiply the matrices.

erik [133]3 years ago

6 0

Answer:

we can not multiply matrix A and B.

Step-by-step explanation:

We have been given that

dimension of matrix A = 3 x 2

dimension of matrix B = 3 x 2

Rule of multiplying two matrices:

Two matrix can be multiplied if the column of first matrix is equal to the row of second matrix.

column of first matrix = row of second matrix

Here, we have

Column of first matrix A = 2

Row of second matrix b = 3

Since,, column of matrix A ≠ Row of matrix B

Hence, we can not multiply matrix A and B.

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Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

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Step 2: you narrow down to group of $\frac{3^{n-1}}{3} = 3^{n-2}$ coins

Step 3: you narrow down to group of $\frac{3^{n-2}}{3} = 3^{n-3}$ coins

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