The matrix equivalent to 4 · A + B is [[12, 16]; [7, 26]].
<h3>How to make operations with a matrices </h3>
Matrices are structures with common use in linear algebra, there are two fundamental operations: (i) Addition of two matrices, (ii) Multiplication of a matrix with a scalar. In the first case the elements of the first matrix are added by corresponding elements of the second matrix and in the second case, each element of the matrix is multiplied by the scalar.
Now we proceed to perform all the required operations:
A = [[3, 3]; [2, 5]], B = [[0, 4], [- 1, 6]]
4 · A = 4 · [[3, 3]; [2, 5]] = [[3 · 4, 3 · 4]; [2 · 4, 5 · 4]] = [[12, 12]; [8, 20]]
4 · A + B = [[12, 12]; [8, 20]] + [[0, 4], [- 1, 6]]
4 · A + B = [[12, 16]; [7, 26]]
The matrix equivalent to 4 · A + B is [[12, 16]; [7, 26]].
To learn more on matrices: brainly.com/question/11367104
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