WebAnswer. For this question, we have been given a 2D vector and asked to perform a multiplication by the scalar quantity of 3. In order to do this, we can simply multiply both the 𝑥 and the 𝑦 component of the vector by the given scalar: 3 ⃑ 𝐴 = 3 ( − 1, − 8) = ( 3 ( − 1), 3 ( − 8)) = ( − 3, − 2 4). With some simplification ... WebBy the second property of determinants if we multiply one of those rows by a scalar, the matrix’s determinant, which is 0, is multiplied by that scalar, so that determinant is also 0. q.e.d. Theorem 2. The determinant of a matrix is not changed when a multiple of one row is added to another. Proof.

Determinant - Wikipedia

WebThe determinant is defined as a scalar value which is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by X or det (X). Mention the different types of matrices WebSnipe is a community of learners led by IITians focusing on students preparing for various +2 level competitive examinations. We reward students for learning... education laws in illinois

Properties of matrix scalar multiplication - Khan Academy

Web26 ian. 2012 · I think this misses the point. If you're dealing with a quaternion representing a rotation, then only a unit quaternion is valid. Scaling like this won't result in a unit quaternion for any scale other than 1.0. WebMultiplication of Two Determinants Define Determinants. A determinant can be … WebVideo Transcript. If 𝐴 is a matrix of order two by two such that the determinant of 𝐴 is equal to three, find the determinant of three 𝐴. In this question, we’re given a matrix 𝐴, which is a square matrix. It’s of order two by two. And we’re also told the determinant of 𝐴 is equal to … education law may be defined as