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Is b the multiplicative inverse of a?

This is a question our experts keep getting from time to time. Now, we have got the complete detailed explanation and answer for everyone, who is interested!

The definition of the term “inverse” refers to something that has the opposite effect… Hence, a number’s multiplicative inverse is defined as a number by which the product of that number’s multiplication is 1. So, if one divides a number by another number and gets 1, then the number b is the multiplicative inverse of the number a.

Is B the multiplicative inverse of a matrix?

Example: Demonstrating That Matrix A Is the Multiplicative Inverse of Matrix B. Demonstrate that the matrices you’ve been provided are the multiplicative inverses of one another… If the product of both matrices is identical to the identity matrix, we can say that the two matrices are inverses of one another.

Which of the following is the inverse multiplicative operation of A?

The multiplicative inverse of a is written as a-1, which can also be written as 1/a. When the sum of two numbers equals one, we say that those numbers are multiplicative inverses of one other. Another way to say this is that the product of two numbers equals 1. One way to define the multiplicative inverse of a number is as the result of dividing one by the number in question.

Determine the inverse multiplicative operation of matrix A.

The matrix that, when multiplied by the original matrix, results in the identity matrix is referred to as the multiplicative inverse of the matrix in question. In the language of mathematical symbols, we get A * A sup -1 = I. If you multiply a matrix A with its multiplicative inverse, you will get the identity matrix. This is what you can deduce from the information presented here.

What is the multiplicative inverse of the negative sign in the expression minus A?

When any negative number is multiplied by a positive number, the ultimate product is a negative number. This is true regardless of the sign of any of the numbers involved. Yet in this case, we are aware that the product ought to be 1. Hence, the only possible result of applying the multiplicative inverse operation to a negative number is another negative number. Because of this, our selection is option B.)

Inverse Multiplicative of the Number 3

23 questions found in related categories

What is the opposite of the number 7?

When you divide a number by itself, the result is the same as multiplying the number by its reciprocal. Thus, 7 ÷7=7 × 17 =1. In this context, the multiplicative inverse of 7 is denoted by the expression 17.

What is the multiplicative inverse of 3?

The solution is of course one third, or 1/3, since: 3 * 1/3 = 1. As a result, the multiplicative inverse of three is one third.

What is the inverse of 12?

The multiplicative inverse of 12 is 1/12.

What is the inverse multiplicative expression of the number 5?

For instance, the multiplicative inverse of five is one since five times one-fifth equals one. A number is said to have an additive inverse if there exists another number that, when added to the given number, produces the value zero. In this case, the initial number might be equal to zero or some different number entirely. The representation of the additive inverse of a number X is as follows:

What is the inverse multiplicative operation of the number 3 7?

∴ x = -7/3. The multiplicative inverse of (-3/7) is hence (-7/3), as shown.

Does 0 have a multiplicative inverse?

The quick answer to this question is that 0 does not have a multiplicative inverse, and any attempt to define a real number as the multiplicative inverse of 0 would result in the contradiction that 0 = 1. These points are puzzling to certain individuals for whatever reason. If you have any issues concerning dividing by zero, you might find the information in these notes helpful.

What is the multiplicative inverse of 4 7?

To put it another way, the multiplicative inverse of 4/7 is 7/4.

What is the inverse multiplicative expression of the number 4?

The multiplicative inverse of 4 is 1/4. (The written representation of one-fourth is the fraction 1/4.) In order to find the multiplicative inverse of a integer, merely build a…

What is the multiplicative inverse of 6?

The multiplicative inverse of six is the fraction one sixth. In order to find the multiplicative inverse of a number, we make use of a property called the multiplicative inverse property, which…

What is the inverse multiplicative expression of the number 2?

What is the additive inverse of the multiplicative expression 1/2? The correct response is either 2 or 2/1.

Which matrices do not have an inverse that is obtained by multiplying?

A unique or degenerate square matrix is a matrix that cannot be inverted, even if it is square. If and only if the determinant of a square matrix is zero, the matrix can be considered unique.

What is the inverse multiplicative form of the number 5 11?

The negative of the multiplicative inverse is equal to (5/11)….

What is the inverse multiplicative operation of the number 5 9?

It is important to note that the number one is regarded as the multiplicative identity element since it always results in the same value when multiplied by any other integer. It goes without saying that the multiplicative inverse of x is 1, and the additive inverse of 59 is therefore 159, which equals 95.

What is the inverse multiplicative expression of the numbers 5 and 7?

The inverse multiplicatively of 5/7 is 7/5, which equals 1 2/5.

What is the opposite of the number 3?

The multiplicative inverse of three is the fraction one third.

What is the inverse additive of the number 23?

The answer is that +23 is the additive inverse of -23.

Is there an inverse of the addition operation for 3?

-3 is the additive inverse of the number 3, which is 3.

What is the inverse multiplicative operation of the number 7 2?

The answer to this question is that the multiplicative inverse of 7-2 is 1/49.

What is the reciprocal of the numbers 3 and 4?

The product of 3/4 and 4/3 is the multiplicative inverse of 3/4.