Product of matrix
(problem attached : if possible do all of not than I'm okay with a few ! )
Chapter : Matrices and Determinant
Answers
Answer:
Here we will solve different types of Problems on Matrix Multiplication.
1. If A = [12−2113][1−21213] and B = ⎡⎣⎢231121⎤⎦⎥[213211], write down the matrix AB. Would it be possible to find the product of BA? If so, compute it, and if not, give reasons.
Solutions:
Here, matrix A is of the order 2 × 3 and matrix B is of the order 3 × 2.
So, the number of columns in A = the number of rows in B = 3.
So, AB can found.
AB = [12−2113][1−21213]⎡⎣⎢231121⎤⎦⎥[213211]
= [1×2+(−2)×3+1×12×2+1×3+3×11×1+(−2)×2+1×12×1+1×2+3×1][1×2+(−2)×3+1×11×1+(−2)×2+1×12×2+1×3+3×12×1+1×2+3×1]
= [−310−27][−3−2107], which is a matrix of the order 2 × 2.

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Now, the number of columns in B = the number of rows in A = 2. So, BA can be found, and the order of BA is 3 × 3.
BA = ⎡⎣⎢231121⎤⎦⎥[213211]
MARK as BRAINLIEST please .. .....
Step-by-step explanation: