Use the definition of Ax to write the matrix equation as a vector equation, or vice versa. [7−3219−6−32][−2−5]=[1−912−4]

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hesgidiauE · Accepted Answer

From the Theorem 3 the matrix equation is Ax=b where A in m×n matrix b∈Rm. We have x1[4−17−4]+x2[−53−51]+x3[7−802]=[6−80−7] then the matrix equation of the given vector equation is [x1⋅4−x1x1⋅7−x1]+[−5x23⋅x2−5x2x2]+[7x3−8x302⋅x3]=[6−80−7] [4−57−13−87−50−412][x1x2x3]=[6−807] Hence, the matrix equation is [4−57−13−87−50−412][x1x2x3]=[6−807] Result: [4−57−13−87−50−412][x1x2x3]=[6−807]

nick1337 · Accepted Answer

We have the matrix equation:[7−3219−6−32][−2−5]=[1−912−4]To write this matrix equation as a vector equation, we can use the definition of matrix multiplication. Let&#039;s denote the matrix on the left-hand side as A and the vector on the right-hand side as x. We can rewrite the equation as:Ax=[1−912−4]Conversely, if we start with the vector equation Ax=[1−912−4], we can write it as a matrix equation by representing the vector x as a column matrix:[7−3219−6−32][−2−5]=[1−912−4]Therefore, the matrix equation and the vector equation are equivalent.

Don Sumner · Accepted Answer

The equation in matrix form is:A𝐯=𝐮Substituting the given values, we have:[7−3219−6−32][−2−5]=[1−912−4]To express the equation as a vector equation, we can expand the matrix multiplication:[7(−2)+(−3)(−5)2(−2)+1(−5)9(−2)+(−6)(−5)−3(−2)+2(−5)]=[1−912−4]Simplifying further, we get:[14+15−4−5−18+306−10]=[1−912−4]This yields:[29−912−4]=[1−912−4]Therefore, the equation in vector form is:𝐯=𝐮Hence, the solution is 𝐯=𝐮, where 𝐯=[−2−5] and 𝐮=[1−912−4].

RizerMix · Accepted Answer

Answer:[7−3219−6−32][−2−5]=[1−912−4]Explanation:Given the matrix equation:[7−3219−6−32][−2−5]=[1−912−4]We can rewrite this equation in vector form by multiplying the matrix by the vector on the left-hand side. Let&#039;s denote the matrix as A and the vector as x. Then, the vector equation becomes:Ax=[1−912−4]Now, we can substitute the values of A and x back into the equation:[7−3219−6−32][−2−5]=[1−912−4]Therefore, the vector equation is:[7−3219−6−32][−2−5]=[1−912−4]

Use the definition of Ax to write the matrix equation as a vector equation, or v

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