a11 a12 is the matrix: a22, (4) The adjugate of a 2 x 2 matrix A a21 a12 a22 adj(A) a11 -a21 A adj (A) det(A)I2. (a) Show that adj(A) A det(A) (b) Show that det(adj(A)) (c) Show that if A is...

please answer only part (c)

a11<br>a12<br>is the matrix:<br>a22,<br>(4) The adjugate of a 2 x 2 matrix A<br>a21<br>a12<br>a22<br>adj(A)<br>a11<br>-a21<br>A adj (A) det(A)I2.<br>(a) Show that adj(A) A<br>det(A)<br>(b) Show that det(adj(A))<br>(c) Show that if A is invertible, then A-1= [det(A)]ladj(A)<br>

Extracted text: a11 a12 is the matrix: a22, (4) The adjugate of a 2 x 2 matrix A a21 a12 a22 adj(A) a11 -a21 A adj (A) det(A)I2. (a) Show that adj(A) A det(A) (b) Show that det(adj(A)) (c) Show that if A is invertible, then A-1= [det(A)]ladj(A)

Jun 04, 2022

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a11 a12 is the matrix: a22, (4) The adjugate of a 2 x 2 matrix A a21 a12 a22 adj(A) a11 -a21 A adj (A) det(A)I2. (a) Show that adj(A) A det(A) (b) Show that det(adj(A)) (c) Show that if A is...

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