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Q: What must be true about the dimensions of two matrices to calculate the product?
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What is the condition for the addition of matrices?

The matrices must have the same dimensions.


What must be true in order to add matrices?

They must have the same dimensions.


Can you multiply a 2x2 matrices?

You can definitely multiply 2x2 matrices with each other. In fact you can multiply a AxB matrix with a BxC matrix, where A, B, and C are natural numbers. That is, the number of columns of the first matrix must equal the number of rows of the second matrix--we call this "inner dimensions must match."


What is the quality of a method that can be used in a variety of matrices?

The method must be of pretty high quality if it can be used for a variety of matrices.


Find the volume of a rectangle?

To calculate the volume of a rectangle, you must multiply the length, the width, and the height--so the volume depends on the dimensions.


Addition of two matrices?

The two matrices and their answer must be of the same dimensions. Each element of the answer matrix is the sum of the elements in the corresponding elements on the matrices that are being added. In algebraic form, if A = {aij} where 1 ≤ i ≤ m, 1 ≤ j ≤ n is an mxn matrix B = {bij} where 1 ≤ i ≤ m, 1 ≤ j ≤ n is an mxn matrix and C = {cij} = A + B, then C is an mxn matrix and cij = aij + bij for all 1 ≤ i ≤ m, 1 ≤ j ≤ n


How do i calculate a crude yield?

You must first calculate the theoretical yield of your product using the balanced equation. The crude yield is divided by the theoretical yield and multiplied by 100.


What makes two matrices equal?

two matrices are normally considered equal only if they are identical. In other words, every element in the matrix must be equal to the corresponding element in the other matrix.


Must two quantities have the same dimensions?

If you intend 'dimensions' to mean units then whenever the two quantities are to be operated on each other then they must have the 'dimensions', refer to dimensional analysis


What is the length of rectengle is 47cm the width is 38mm before you calculate the area mustbe soething?

Before doing any calculations the dimensions must be in the same units of measurements.


What is a capacity of swimming pool?

This question is unanswerable. You must provide the dimensions. You base the answer on the dimensions.


What is the use of matrices in engineering?

Matrices are a vital mathematical tool for calculating forces, vectors, tensions, masses, loads and a myriad of other factors that must be accounted for in engineering to ensure a safe and resource-efficient structure.

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