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Let C=[} 2&-1 0&1 ] Find DC If It Is Defined. Otherwise,click on "Undefined". DC=square

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Let C=[} 2&-1 0&1 ] Find DC if it is defined. Otherwise,click on "Undefined". DC=square

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Miguel maestro · Tutor durante 5 años
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Respuesta

To determine if the product is defined, we need to check the dimensions of the matrices and .Matrix is a matrix: Matrix is also a matrix: Since both matrices are , the product is defined and will also be a matrix.Now, let's calculate the product : To find each element of the resulting matrix, we use the formula for matrix multiplication: Let's calculate each element:1. \( (DC)_{11} = 7 \cdot 2 + (-4) \cdot 0 = 14 \)2. \( (DC)_{12} = 7 \cdot (-1) + (-4) \cdot 1 = -7 - 4 = -11 \)3. \( (DC)_{21} = -3 \cdot 2 + 4 \cdot 0 = -6 \)4. \( (DC)_{22} = -3 \cdot (-1) + 4 \cdot 1 = 3 + 4 = 7 \)So, the resulting matrix is: Thus, the final answer is: