The negative of a matrix is obtained by multiplying it by ______________.

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Solution

Let A be any matrix and k be any scalar. Then

(−k)A = −(kA)

Putting k = 1, we get

(−1)A = −(1A)

⇒ (−1)A = −A

Thus, the negative of a matrix A is obtained by multiplying A by −1.

The negative of a matrix is obtained by multiplying it by _−1_.

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The negative of a matrix is obtained by multiplying it by ______________.

Let A be any matrix and k be any scalar. Then (−k)A = −(kA) Putting k = 1, we get (−1)A = −(1A) ⇒ (−1)A = −A Thus, the negative of a matrix A is obtained by multiplying A by −1. The negative of a matrix is obtained by multiplying it by ___−1___.

Let A be any matrix and k be any scalar. Then

(−k)A = −(kA)

Putting k = 1, we get

(−1)A = −(1A)

⇒ (−1)A = −A

Thus, the negative of a matrix A is obtained by multiplying A by −1.

The negative of a matrix is obtained by multiplying it by _−1_.